47 Royalty-Free Audio Tracks for "Pythagorean Tuning And Intervals"

Tritave dyad (interval)

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

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

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

Pythagorean major chord on C.

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

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

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

Harmonic Scale chromatic on C.

*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.

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

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

*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 fourth on C = F♭-- (Ben Johnston's notation). 8192:6561 = 384.36 cents. Limit: 3-limit.

*Pythagorean major sixth on C = A+ (Ben Johnston's notation). 27:16 = 905.87 cents. Limit: 3-limit. MIDI pitch bend: 112,65

*Pythagorean major seventh on C = B+ (Ben Johnston's notation). 243:128 = 1109.78 cents. Limit: 3-limit. MIDI pitch bend: 16,67

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

*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

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

*Pythagorean augmented sixth on C = A♯+++ (Ben Johnston's notation). 59049/32768 = 1019.55 cents. Limit: 3-limit. MIDI pitch bend: 33,70

*Ditone (Pythagorean major third) on C = E+ (Ben Johnston's notation). Just: 81:64 = 407.82 cents. Limit: 3-limit. MIDI pitch bend: 64,66 81st harmonic.

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

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

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

C major triad, played by me

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

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

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

Traditional Pythagorean tuning of the diatonic tetrachord. Created by Hyacinth (talk) using Sibelius 5. MIDI pitch bend appears to match intervals (0,64, 96,62, 64,61, and 80,64).

Chromatic tetrachord in pythagorean tuning. MIDI pitch bend appears to match intervals (0,64; 112,65; 64,61; and 80,64). Created by Hyacinth (talk) using Sibelius 5.

*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♮).

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

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

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

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

Enharmonic tetrachord in Pythagorean tuning. Created by Hyacinth (talk) using Sibelius 5. hypate parhypate lichanos mese 4/3 9/7 5/4 1/1 ↓ 28/27 ↓36/35↓ 5/4 ↓ -498 -435 -386 0 cents MIDI pitch bend appears to match intervals.

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

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

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

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

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

*Perfect octave on C = C'. Just: 2:1 = 1200 cents. Equal-tempered: 212/12:1 = 1200 cents. Limit: 3-limit. MIDI pitch bend: none MIDI.

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.