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Diatonic scale Wiki2Web Clarity Challenge

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Study Guide: The Diatonic Scale: Structure, History, and Tuning Systems

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The Diatonic Scale: Structure, History, and Tuning Systems Study Guide

Diatonic Scale Fundamentals and Structure

A diatonic scale is defined as a hexatonic scale, consisting of six notes within each octave.

Answer: False

Explanation: A diatonic scale is fundamentally defined as a heptatonic, or seven-note, scale, not a hexatonic one.

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The two half steps in a diatonic scale are arranged to be maximally separated from each other by either two or three whole steps.

Answer: True

Explanation: A defining characteristic of a diatonic scale is that its two half steps are maximally separated by either two or three whole steps.

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The seven pitches of any diatonic scale can be obtained by constructing a chain of five perfect fifths.

Answer: False

Explanation: The seven pitches of any diatonic scale are obtained by constructing a chain of six perfect fifths, not five.

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The C-major scale's natural pitch classes can be derived from a stack of perfect fifths starting from C.

Answer: False

Explanation: The C-major scale's natural pitch classes are derived from a stack of perfect fifths starting from F (F–C–G–D–A–E–B), not C.

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Any sequence of seven successive natural notes, such as C–D–E–F–G–A–B, forms a diatonic scale.

Answer: True

Explanation: A fundamental property of diatonic scales is that any sequence of seven successive natural notes, such as C–D–E–F–G–A–B, constitutes a diatonic scale.

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A diatonic scale can be described as two tetrachords separated by a semitone.

Answer: False

Explanation: A diatonic scale is accurately described as two tetrachords separated by a whole tone, not a semitone.

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Allen Forte classifies diatonic scales under the set form 7–35 in musical set theory.

Answer: True

Explanation: In musical set theory, Allen Forte specifically classifies diatonic scales under the set form 7–35.

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The harmonic minor and melodic minor scales are considered diatonic because they are seven-note scales.

Answer: False

Explanation: Harmonic minor and melodic minor scales are not considered diatonic because they do not meet the specific intervallic conditions, such as the maximal separation of semitones, that define a diatonic scale.

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The C major scale's tetrachords are both formed with an interval pattern of two tones and a semitone (T–T–S).

Answer: True

Explanation: Both tetrachords of the C major scale exhibit an interval pattern of two whole tones followed by a semitone (T–T–S).

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According to music theory, what is the fundamental definition of a diatonic scale?

Answer: A heptatonic scale consisting of five whole steps and two half steps, with half steps maximally separated.

Explanation: The fundamental definition of a diatonic scale specifies it as a heptatonic scale with five whole steps and two half steps, arranged such that the half steps are maximally separated.

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How can the seven pitches of any diatonic scale be derived using perfect fifths?

Answer: By constructing a chain of six perfect fifths.

Explanation: The seven pitches of a diatonic scale are derived by constructing a chain of six perfect fifths.

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What is the relationship between natural notes and diatonic scales on a modern musical keyboard?

Answer: Any sequence of seven successive natural notes forms a diatonic scale, though transpositions of this scale often require the use of black keys.

Explanation: Any sequence of seven successive natural notes, such as C–D–E–F–G–A–B, inherently forms a diatonic scale, with black keys becoming necessary for transpositions.

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How does Allen Forte classify diatonic scales within musical set theory?

Answer: Set form 7–35

Explanation: In musical set theory, Allen Forte classifies diatonic scales under the specific set form 7–35.

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Which of the following seven-note scales are explicitly *not* considered diatonic according to the article's definition?

Answer: Harmonic minor and melodic minor

Explanation: Harmonic minor and melodic minor scales are explicitly excluded from the definition of diatonic scales due to their intervallic structures not meeting the criteria.

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What is the interval pattern of each tetrachord in a C major scale?

Answer: T–T–S

Explanation: Each tetrachord within a C major scale follows an interval pattern of two whole tones and one semitone (T–T–S).

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Historical Development of Diatonic Scales

The term 'diatonic' originates from Latin and refers to the chromatic genus of ancient Greek music.

Answer: False

Explanation: The term 'diatonic' originates from Ancient Greek and referred to the diatonic genus of ancient Greek music, not the chromatic genus or Latin.

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Western music from the Middle Ages until the late 19th century was fundamentally based on the diatonic scale.

Answer: True

Explanation: The diatonic scale formed the fundamental basis of Western music composition throughout the common practice period, from the Middle Ages to the late 19th century.

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Ancient evidence for diatonic scales includes 9,000-year-old flutes from Jiahu, China, with intervals similar to diatonic scales.

Answer: True

Explanation: Archaeological findings, such as 9,000-year-old flutes from Jiahu, China, provide ancient evidence of instruments with intervals strikingly similar to diatonic scales.

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The tuning system of ancient Mesopotamian Hurrian songs demonstrates a diatonic nature because it involves a series of five perfect fifths.

Answer: False

Explanation: The Hurrian songs' tuning system demonstrates a diatonic nature due to its involvement of a series of six perfect fifths, not five.

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The scales corresponding to the medieval church modes were diatonic.

Answer: True

Explanation: The scales associated with the medieval church modes were indeed diatonic, with different modes arising from starting on various degrees of the diatonic scale.

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The Locrian mode was widely used in medieval music theory due to its stable fifth above its reference note.

Answer: False

Explanation: The Locrian mode was generally avoided in medieval music theory because it lacks a pure fifth above its reference note, resulting in a dissonant diminished fifth.

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Medieval theory described the church modes as corresponding to only two diatonic scales due to the variable B.

Answer: False

Explanation: Due to the variable B♮/B♭, medieval theory described the church modes as corresponding to four diatonic scales, not two.

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Heinrich Glarean's *Dodecachordon* described a total of twelve diatonic scales, including six natural and six transposed ones.

Answer: True

Explanation: Heinrich Glarean's *Dodecachordon* significantly expanded the understanding of diatonic scales by describing twelve in total: six 'natural' and six 'transposed' modes.

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By the Baroque period, the concept of the musical key was firmly established, allowing for additional transpositions of the diatonic scale.

Answer: True

Explanation: The establishment of the musical key concept during the Baroque period enabled further transpositions of the diatonic scale, broadening musical possibilities.

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Major and minor scales became dominant in Western music primarily because they allowed for more complex dissonances.

Answer: False

Explanation: Major and minor scales became dominant because their intervallic patterns effectively reinforce a central triad, a core harmonic structure in tonal music, rather than primarily enabling more complex dissonances.

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Church modes completely disappeared from Western music after the Baroque period.

Answer: False

Explanation: While major and minor scales became dominant, church modes continued to appear in various musical contexts, including classical, 20th-century music, and jazz, beyond the Baroque period.

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Of Glarean's six natural scales, three have a major first triad and three have a minor first triad.

Answer: True

Explanation: Glarean's classification of six natural diatonic scales includes three with a major first triad (Ionian, Lydian, Mixolydian) and three with a minor first triad (Dorian, Phrygian, Aeolian).

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The medieval conception of tetrachordal structure was based on a single tetrachord, that of the C scale.

Answer: False

Explanation: The medieval understanding of tetrachordal structure was centered on the D scale's tetrachord (D–E–F–G), not the C scale.

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From which language does the term 'diatonic' originate?

Answer: Ancient Greek

Explanation: The term 'diatonic' is etymologically derived from Ancient Greek.

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What was the historical significance of the diatonic scale in Western music from the Middle Ages until the late 19th century?

Answer: It formed the backbone of musical composition during the common practice period.

Explanation: The diatonic scale served as the foundational structure for Western musical composition throughout the common practice period, from the Middle Ages to the late 19th century.

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What ancient evidence suggests the use of a diatonic scale by the Sumerians and Babylonians?

Answer: Cuneiform inscriptions containing musical compositions and a tuning system.

Explanation: Ancient cuneiform inscriptions from the Sumerians and Babylonians provide evidence of musical compositions and tuning systems that suggest the use of diatonic scales.

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Why was the Locrian mode generally not used in medieval music theory?

Answer: It lacked a pure fifth above its reference note, making it dissonant.

Explanation: The Locrian mode was largely unused in medieval music theory because it lacked a pure fifth above its tonic, resulting in a dissonant diminished fifth that was considered unstable.

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How many diatonic scales were described by medieval theory, considering the variable B♭/B♮?

Answer: Four

Explanation: Medieval theory identified four diatonic scales corresponding to the church modes, accounting for the variable B♭/B♮.

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What was Heinrich Glarean's significant contribution to the understanding of diatonic scales during the Renaissance?

Answer: He described twelve scales in *Dodecachordon*, including six natural and six transposed ones.

Explanation: Heinrich Glarean's *Dodecachordon* was pivotal in expanding the understanding of diatonic scales during the Renaissance by detailing twelve distinct scales, comprising six natural and six transposed modes.

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Why did major and minor scales become dominant in Western music until the 20th century?

Answer: Their specific intervallic patterns are well-suited to reinforcing a central triad.

Explanation: Major and minor scales gained dominance in Western music primarily because their intervallic structures effectively reinforce a central triad, a cornerstone of tonal harmony.

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In what musical contexts have church modes continued to appear beyond the Baroque period?

Answer: In classical, 20th-century music, and jazz.

Explanation: Beyond the Baroque era, church modes have maintained their presence in various musical genres, including classical compositions, 20th-century music, and jazz.

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How did the medieval conception of tetrachordal structure differ from the modern view?

Answer: It viewed other diatonic scales as differently overlapping disjunct and conjunct tetrachords, based on the D scale.

Explanation: The medieval understanding of tetrachordal structure, centered on the D scale, involved viewing other diatonic scales as combinations of overlapping disjunct and conjunct tetrachords, differing from the modern two-tetrachord separation.

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Which of Glarean's six natural diatonic scales have a major third/first triad?

Answer: Ionian, Lydian, and Mixolydian

Explanation: According to Glarean's classification, the Ionian, Lydian, and Mixolydian modes are the three natural diatonic scales that possess a major third or first triad.

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Major, Minor, and Modal Diatonic Scales

Theoretically, there are 12 possible diatonic scales, one for each note of the chromatic scale.

Answer: False

Explanation: Theoretically, if each of the seven diatonic modes can be transposed to all twelve chromatic notes, there are 84 possible diatonic scales, not just 12.

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The interval pattern of a major scale is represented as T–S–T–T–S–T–T.

Answer: False

Explanation: The correct interval pattern for a major scale is T–T–S–T–T–T–S, where T is a whole tone and S is a semitone.

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The major scale is also commonly known as the Dorian mode.

Answer: False

Explanation: The major scale is commonly known as the Ionian mode, not the Dorian mode.

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The solfège syllable for the 7th degree of the major scale is 'La'.

Answer: False

Explanation: In solfège, the syllable for the 7th degree of the major scale is 'Ti', not 'La'.

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The 7th degree of a major scale is traditionally called the Leading tone.

Answer: True

Explanation: In a tonal context, the 7th degree of a major scale is traditionally named the Leading tone due to its strong tendency to resolve to the tonic.

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A natural minor scale uses the exact same sequence of notes as its relative major scale but begins on the fifth degree.

Answer: False

Explanation: A natural minor scale, or relative minor, uses the same notes as its relative major scale but begins on the sixth degree of that major scale, not the fifth.

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The 7th degree of the natural minor scale is called the subtonic because it is a whole step below the tonic.

Answer: True

Explanation: The 7th degree of the natural minor scale is designated the subtonic because it lies a whole step below the tonic, distinguishing it from the leading tone of the major scale.

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The seven different diatonic scales, or modes, are generated from any major scale by taking a different degree of that major scale as the new tonic.

Answer: True

Explanation: The seven diatonic modes are systematically generated by using each successive degree of a major scale as the new tonic, thereby creating distinct intervallic patterns.

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Transposition changes the mode of a diatonic scale to a different one.

Answer: False

Explanation: Transposition does not alter the mode of a diatonic scale; rather, it shifts the entire scale to a different pitch level while maintaining its inherent modal quality.

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How many total diatonic scales are theoretically possible when considering transpositions across the chromatic scale?

Answer: 84

Explanation: Theoretically, considering the seven diatonic modes and their transpositions to each of the twelve chromatic notes, there are 84 possible diatonic scales.

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What is the interval pattern of a major scale using T for whole tone and S for semitone?

Answer: T–T–S–T–T–T–S

Explanation: The interval pattern for a major scale is T–T–S–T–T–T–S, where T denotes a whole tone and S denotes a semitone.

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What is another common name for the major scale?

Answer: Ionian mode

Explanation: The major scale is also widely recognized as the Ionian mode, a term derived from ancient Greek modal systems.

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What are the solfège syllables for the degrees of the major scale?

Answer: Do–Re–Mi–Fa–Sol–La–Ti–Do

Explanation: The standard solfège syllables for the major scale degrees are Do–Re–Mi–Fa–Sol–La–Ti–Do.

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What is the traditional name for the 7th degree of a major scale in a tonal context?

Answer: Leading tone

Explanation: In a tonal framework, the 7th degree of a major scale is traditionally referred to as the Leading tone, indicating its strong melodic pull towards the tonic.

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How is a natural minor scale derived from a major scale?

Answer: It uses the same notes but begins on the 6th degree of the major scale.

Explanation: A natural minor scale is derived from its relative major by starting on the sixth degree of the major scale and using the same sequence of notes.

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What is the interval sequence of the natural minor scale?

Answer: T–S–T–T–S–T–T

Explanation: The interval sequence for the natural minor scale is T–S–T–T–S–T–T, where T represents a whole tone and S represents a semitone.

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Why is the seventh degree of the natural minor scale called the subtonic?

Answer: It is a whole step below the tonic.

Explanation: The seventh degree of the natural minor scale is termed the subtonic because it is positioned a whole step below the tonic, unlike the leading tone which is a half step below.

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How are the seven different diatonic scales, or modes, generated from a major scale?

Answer: By starting on a different degree of that major scale as the new tonic.

Explanation: The seven diatonic modes are generated by using each successive degree of a major scale as the new tonic, preserving the intervallic relationships but shifting the tonal center.

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Which of the following is NOT one of the seven modern modes that constitute the collection of diatonic scales?

Answer: Harmonic Minor

Explanation: Harmonic Minor is not considered one of the seven modern diatonic modes; it is an alternative seven-note scale with a different intervallic structure.

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What effect does transposition have on the mode of a diatonic scale?

Answer: It preserves the mode of the diatonic scale.

Explanation: Transposition shifts a diatonic scale to a new pitch level but fundamentally preserves its modal identity.

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Diatonic Tuning Systems

Pythagorean tuning for a diatonic scale is produced by the iteration of six perfect fourths.

Answer: False

Explanation: Pythagorean tuning for a diatonic scale is generated by the iteration of six perfect fifths, not six perfect fourths.

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Pythagorean tuning dates back to Ancient Greece and was primarily used by Plato.

Answer: False

Explanation: Pythagorean tuning originated in Ancient Mesopotamia, not Ancient Greece, and its primary use is not specifically attributed to Plato in the provided text.

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In Pythagorean tuning, tones are represented by a ratio of 9/8, and diatonic semitones by 256/243.

Answer: True

Explanation: Pythagorean tuning defines tones with a ratio of 9/8 and diatonic semitones with a ratio of 256/243.

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Equal temperament ensures that all intervals of the same type have different sizes, depending on the starting note.

Answer: False

Explanation: Equal temperament is designed to ensure that all intervals of the same type have precisely the same size, regardless of their starting note, facilitating modulation.

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The primary goal of meantone temperament is to temper the fifths more than in equal temperament to produce more consonant major thirds.

Answer: True

Explanation: Meantone temperament's central objective is to temper fifths more significantly than in equal temperament, thereby achieving more consonant major thirds.

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Quarter-comma meantone was a common temperament in the 18th and 19th centuries, known for its perfect minor thirds.

Answer: False

Explanation: Quarter-comma meantone was prevalent in the 16th and 17th centuries and was noted for producing perfect major thirds, not minor thirds, and not primarily in the 18th and 19th centuries.

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Just Intonation is also known as five-limit tuning because its frequency ratios are based on simple powers of the prime numbers 2, 3, and 5.

Answer: True

Explanation: Just Intonation is termed five-limit tuning because its frequency ratios are exclusively derived from simple powers of the prime numbers 2, 3, and 5.

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How is Pythagorean tuning produced for a diatonic scale?

Answer: By iterating six perfect fifths.

Explanation: Pythagorean tuning for a diatonic scale is achieved by systematically iterating six perfect fifths to construct the scale's pitches.

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What is the historical origin of Pythagorean tuning?

Answer: Ancient Mesopotamia

Explanation: Pythagorean tuning traces its historical origins to Ancient Mesopotamia, where methods for constructing scales via perfect fifths were developed.

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In Pythagorean tuning, what is the ratio for a diatonic semitone?

Answer: 256/243

Explanation: In Pythagorean tuning, a diatonic semitone is precisely defined by the frequency ratio of 256/243.

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What is the fundamental principle of equal temperament?

Answer: Dividing the octave into twelve precisely equal semitones.

Explanation: The fundamental principle of equal temperament is the division of the octave into twelve precisely equal semitones, ensuring consistent interval sizes across all keys.

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What is the frequency ratio for a semitone in equal temperament?

Answer: The twelfth root of two

Explanation: In equal temperament, the frequency ratio for a semitone is precisely the twelfth root of two.

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What was the primary goal of meantone temperament?

Answer: To temper the fifths more to produce more consonant major thirds.

Explanation: The primary objective of meantone temperament was to temper the perfect fifths to a greater extent than in equal temperament, thereby achieving more harmonically pure major thirds.

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Which specific meantone temperament was commonly used in the 16th and 17th centuries and produced perfect major thirds?

Answer: Quarter-comma meantone

Explanation: Quarter-comma meantone was a prevalent temperament in the 16th and 17th centuries, specifically chosen for its ability to produce perfect major thirds.

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How is Just Intonation often visually represented?

Answer: Leonhard Euler's Tonnetz.

Explanation: Just Intonation is frequently visualized using Leonhard Euler's Tonnetz, a diagram that illustrates the harmonic relationships between pitches through perfect fifths and major thirds.

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What is the effect of the syntonic comma in Just Intonation?

Answer: It lowers the notes A, E, and B by the ratio 81/80, making the D–A fifth too narrow.

Explanation: In Just Intonation, the syntonic comma causes the notes A, E, and B to be lowered by a ratio of 81/80, which in turn makes the D–A fifth too narrow, creating a 'wolf' interval.

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Who is credited with first describing the tuning known as Ptolemy's intense diatonic scale?

Answer: Ptolemy

Explanation: Ptolemy is credited with the initial description of the tuning system known as Ptolemy's intense diatonic scale.

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Why is Just Intonation also referred to as five-limit tuning?

Answer: Its frequency ratios are based on simple powers of the prime numbers 2, 3, and 5.

Explanation: Just Intonation is also known as five-limit tuning because its frequency ratios are constructed solely from simple powers of the prime numbers 2, 3, and 5.

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Keyboard Evolution and Diatonicism

The modern musical keyboard originally featured only white keys, reflecting the prevalence of diatonic scales.

Answer: True

Explanation: The modern musical keyboard's original design was diatonic, featuring only white keys, which reflected the early dominance of diatonic scales in Western music.

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Black keys were added to keyboards primarily to simplify the playing of simple melodies.

Answer: False

Explanation: Black keys were added to keyboards primarily to improve consonances, enable all twelve transpositions of the diatonic scale, and aid musicians in navigating the instrument, not to simplify simple melodies.

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What was the original design of the modern musical keyboard?

Answer: It was a diatonic keyboard with only white keys.

Explanation: The initial design of the modern musical keyboard was diatonic, featuring only white keys, reflecting the historical emphasis on diatonic scales.

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What was one of the primary reasons for the progressive addition of black keys to musical keyboards?

Answer: To enable all twelve possible transpositions of the diatonic scale.

Explanation: A key reason for the gradual addition of black keys to musical keyboards was to facilitate all twelve possible transpositions of the diatonic scale, expanding the instrument's versatility.

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