# Ditone

Diatonic intervals
Prime
second
third
fourth
fifth
sixth
seventh
octave
none
decime
undezime
duodecime
tredezime
semitone / whole tone
Special intervals
Microinterval
Comma
Diësis
Limma
Apotome
Ditone Tritone
Wolf
fifth
Natural septime
units
Cent
Millioctave
Octave
Savart

The ditone (or ditonus ) in music denotes an interval of two large whole tones .

In Pythagorean mood of ditone corresponds to the frequency ratio  81 / 64 and is known as Pythagorean large third :

${\ displaystyle \ left ({\ frac {9} {8}} \ right) ^ {2} = {\ frac {81} {64}}}$ ≈ 407.82 cents

This is a syntonic point  ( 81 / 80 ≈ 21.51 cents) is greater than the pure major third ( 5 / 4 = 80 / 64 ≈ 386.31 cents).

The Pythagorean third octave is obtained by the superposition of four fifths integer (frequency ratio 3 / 2 ):

${\ displaystyle {\ frac {3} {2}}}$ → → → two octaves lower:${\ displaystyle {\ frac {9} {4}}}$ ${\ displaystyle {\ frac {27} {8}}}$ ${\ displaystyle {\ frac {81} {16}} \ ,,}$ ${\ displaystyle {\ frac {81} {64}}}$ In ancient Greek and medieval music theory , the ditone was generally viewed as a dissonance . In the 12th century, Theinred von Dover was the first music theorist to allow thirds to be considered consonances in principle , but emphasized that the Pythagorean thirds did not represent consonances. The English music theorist Walter Odington (14th century) also declared the ditone with the proportion 81:64 to be dissonant, but mentioned that most considered this interval to be consonant because of its proximity to the interval with the proportion 5: 4.