69 Royalty-Free Audio Tracks for "Pythagorean Commas"

*Pythagorean comma on C = B♯+++ (Ben Johnston's notation). 531441:524288 = 23.460010 cents. Limit: 3-limit. MIDI pitch bend: 65,71 (23.461914 cents) The note de picted as lower on the staff (B♯+++) is slightly higher in pitch (than C♮).

Pythagorean diminished third on C. 65536 : 59049 180.45 cents.

*Unison on C = C. Just: 1:1 = 0 cents. Equal-tempered: 20/12:1 = 0 cents. Limit: 3-limit.

Musical scale called "Ishartum" by Lou Harrison, often called the "Flamenco mode", in Pythagorean tuning on E, as follows: (by fifths) F-, C-, G-, D-, A, E, B (F♯+, C♯+, G♯+, and D♯+), or (in order) E (1/1), F- (256/243), G- (32/27), A (4/3), B (3/2), C- (128/81), D (16/9), E (2/1), with G♯+ being 81/64 and D#+ being 729/512. The final F- has an augmented sixth chord, B7b5/F (B D# F A), which resolves to a major chord that touches on the minor third.

*Diminished fifth tritone (Pythagorean diminished fifth) on C = G♭-. 1024:729 = 588.27 cents. Limit: 3-limit. MIDI pitch bend: 32,92 on P4

*Single note of just BP diatonic scale on C = C'. Just: 3:1 = 1901.96 cents. Limit: 3-limit.

Compound just perfect fifth on C. Also the 833 cents scale step 16 (2). 1901.96 cents. 3/1

Pythagorean major chord on C.

* on C = C. Just: 1/1 = 0 cents. Limit: 3-limit. Single note of Just BP Diatonic Scale: C.

*Small diesis on C. Just: 3125:3072 = 29.61 cents.

C major triad, played by me

1698 Campra L'Europe Galante Prologue Ouverture, Pythagorean tuning.

*Pythagorean minor semitone/Pythagorean limma on C = D♭-- (Ben Johnston's notation). 256/243 = 90.22 cents. Limit: 3-limit. MIDI pitch bend: 112,60

*Tritave (compound just perfect fifth) on C = G'. 3:1 = 1901.96 cents. Limit: 3-limit. Play by clarinets.

Tritave dyad (interval)

ii-V-I turnaround in C, in four-part harmony.

*Just perfect fourth on C = F (Ben Johnston's notation). Just: 4:3 = 498.04 cents. Limit: 3-limit. MIDI pitch bend: 48,63

A minor pentatonic scale in Pythagorean tuning. MIDI pitch bend matches intervals.

*Major tone on C = D. 9:8 = 203.91 cents. Limit: 3-limit. MIDI pitch bend: 32,65

*Tritave (compound just perfect fifth) on C = G'. 3:1 = 1901.96 cents. Limit: 3-limit. MIDI pitch bend: 80,64

Harmonic Scale chromatic on C.

*Just perfect fifth on C = G. 3:2 = 701.96 cents. Limit: 3-limit. MIDI pitch bend: 80,64 MIDI file.

Goodnight, Ladies in Pythagorean tuning. MIDI pitch bend matches intervals.

Just perfect fifth on D = A+. 3:2 = 701.96 cents.

*Pythagorean apotome on C = C♯++ (Ben Johnston's notation). 2187:2048 = 113.69 cents. Limit: 3-limit. MIDI pitch bend: 49,68

*Pythagorean augmented fourth on C = F♯++ (Ben Johnston's notation). 729:512 = 611.73 cents. Limit: 3-limit. MIDI pitch bend: 96,67

*Pythagorean augmented fifth on C = G♯++ (Ben Johnston's notation). 6561/4096 = 815.64 cents. Limit: 3-limit. MIDI pitch bend: 1,69

Pythagorean diatonic scale on C. + indicates the syntonic comma.

*Pythagorean augmented second on C = D♯++ (Ben Johnston's notation). 19683/16384 = 317.60 cents. Limit: 3-limit. MIDI pitch bend: 81,69

Giovanni Benedetti's 1563 example of a comma "pump" or drift by a syntonic comma (21.51 cents) during a progression. Common tones between chords are the same pitch, with the other notes tuned in pure intervals to the common tones.

*Pythagorean diminished seventh on C = B--- (Ben Johnston's notation). 32768:19683 = 882.40 cents. Limit: 3-limit.

*Pythagorean augmented seventh on C = B♯+++ (Ben Johnston's notation). 531441/262144 = 1223.46 cents. Limit: 3-limit.

*Pythagorean minor sixth on C = A♭- (Ben Johnston's notation). 128:81 = 792.18 cents. Limit: 3-limit. MIDI pitch bend: 64,61

*Pythagorean diminished sixth on C = A--- (Ben Johnston's notation). 262144:177147 = 678.49 cents. Limit: 3-limit.

*Pythagorean diminished octave on C = C♭-- (Ben Johnston's notation). 4096:2187 = 1086.31 cents. Limit: 3-limit.

*Lesser just minor seventh on C = B♭- (Ben Johnston's notation). 16/9 = 996.09 cents. Limit: 3-limit. MIDI pitch bend: 96,62

*Pythagorean minor third (semiditone) on C = E♭- (Ben Johnston's notation). 32:27 = 294.13 cents. Limit: 3-limit. MIDI pitch bend: 15,62

*Orwell comma on C. 1728:1715 = 13.07 cents. Limit: 7-limit.

*Semicomma on C. 2109375:2097152 = 10.06 cents. Limit: 5-limit.

*Undecimal diesis on C. Just: 45:44 = 38.91 cents. Limit: 11-limit.

*Pythagorean minor tone on C = D- (Ben Johnston's notation). 10:9 = 182.40 cents. Limit: 5-limit. MIDI pitch bend: 47,58

*Octave minus syntonic comma on C = C-. Just: 160/81 = 1178.49 cents. Limit: 5-limit. MIDI pitch bend: 15,89 on M7

*Diesis on C = D-. 128:125 = 41.06 cents. Limit: 5-limit. MIDI pitch bend: 18,77 Created by Hyacinth (talk) using Sibelius 5 with midi pitch bend on 18,77 for 41.064453 cents rather than 0.

*Septimal kleisma on C. Just: 225/224 = 7.71 cents. Limit: 7-limit. MIDI pitch bend: 60,66

*Breedsma on C = E♭♭♭+. Just: 2401:2400 = 0.72 cents. Limit: 7-limit. MIDI pitch bend: 30,64

*Chromatic diesis on C. Just: 27:26 = 65.34 cents. Limit: 13-limit. MIDI pitch bend: 116,52

*Syntonic comma on C = C+ (Ben Johnston's notation). 81:80 = 21.51 cents. Limit: 5-limit. MIDI pitch bend: 113,10

*Ragisma on C = C♯-. 4375:4374 = 0.396 cents. Limit: 7-limit. MIDI pitch bend: 16,64 SAME PITCH BEND AS File:Decameride on C.mid

*Pythagorean augmented third on C = E♯+++ (Ben Johnston's notation). 177147/131072 = 521.51 cents. Limit: 3-limit. MIDI pitch bend: 113,70