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Pythagorean tuning: Quiz

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Question 1: From around the 18th century, as the need grew for instruments to change key, and therefore to avoid a wolf interval, this led to the widespread use of well temperaments and eventually ________.
Equal temperamentPitch classJust intonationBohlen–Pierce scale

Question 2: Pythagorean tuning is based on a stack of perfect fifths, each tuned in the ratio 3:2, the next simplest ratio after 2:1, which is the ratio of an ________.
SemitoneFifteenthOctaveInterval (music)

Question 3: As thirds came to be treated as consonances, so ________, and particularly quarter-comma meantone, which tunes thirds to the relatively simple ratio of 5:4, became more popular.
MillioctaveSavartCent (music)Meantone temperament

Question 4: ________, in which Plato discusses Pythagorean tuning
Critias (dialogue)Timaeus (dialogue)The Republic (Plato)Symposium (Plato)

Question 5: Its name comes from medieval texts which attribute its discovery to ________, but its use has been documented as long ago as 3500 B.C.
ThalesPythagorasDemocritusAnaxagoras

Question 6: Because of this, the G, separated by twelve fifths from the A, is about a quarter of a ________ sharper.
Interval (music)SemitonePerfect fourthOctave

Question 7: Pythagorean tuning is a system of musical tuning in which the ________ relationships of all intervals are based on the ratio 3:2.
WaveFrequencySoundElectromagnetic radiation

Question 8: When describing tunings, it is usual to speak of all notes as being within an ________ of each other, and as this E is over an octave above the original D, it is usual to halve its frequency to move it down an octave.
FifteenthSemitoneOctaveInterval (music)







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