1,162 Royalty-Free Audio Tracks for "233 Limit Tuning And Intervals"

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

Primary triad in C in just intonation. Created by Hyacinth (talk) 11:17, 22 December 2011 (UTC) using Sibelius 5.

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

*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.

I created this file myself (using Sibelius, Windows Sound Recorder, and Audacity) to illustrate the concept of interval class.

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

*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 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

Ratio between pitch and length of an organ pipe: octaves.

D chord in drop D tuning.

Melodic and harmonic intervals. Created by Hyacinth (talk) 15:19, 18 March 2011 (UTC) using Sibelius 5.

A chorale melody containing only steps, no skips: "Jesu, Leiden, Pein, un Tod".

*Augmented octave and diminished unison on C = C♯. Equal-tempered: 21/12:1 = 100 cents. MIDI pitch bend: none Note how the diminished unison is essentially equivalent to the augmented unison.

Octave and Minor third on C

Minor tenth on C - As MIDI

*Major ninth on C = D'. Equal-tempered: 214/12:1 = 1400 cents. MIDI pitch bend: none

5 25 {\displaystyle {\sqrt[{25}]{5}}} = 5:11/25 = 111.45 cents. Interval used in Stockhausen's Studie II, a compound just major third (5/1) divided into 25 equal parts.

Major thirteenth on F

*Major tenth on C = E'. Equal-tempered: 216/12:1 = 1600 cents. MIDI pitch bend: none

Minor thirteenth on F, as MIDI

Simple and compound major third (major third and major tenth).

*Golden ratio on C. 1.6180339887498948482 (φ) = 833.0902963567409 cents. MIDI pitch bend: 75,74

Melodic perfect fifth descending.

Melodic perfect fifth ascending.

*Subminor sixth on C = G/A. Equal-tempered: 215/24=5/8:1 = 750 cents. MIDI pitch bend: 0,80 Preceded by:File:Thirteen quarter tones on C.mid

*Major fourth (Eleven quarter tones) on C = F or G. 211/24:1 = 550 cents. MIDI pitch bend: 0,80 Preceded by:File:Nine quarter tones on C.mid

*Five quarter tones on C. Equal-tempered: 25/24:1 = 250 cents. MIDI pitch bend: 0,80 Preceded by:File:Three quarter tones on C.mid

*Bohlen-Pierce three steps on C = E. 33/13 = 438.91 cents. MIDI pitch bend: 57,76

*Bohlen-Pierce eleven steps on C = A♯/B♭. 311/13 = 409.35 cents. MIDI pitch bend: 126,66

*Bohlen-Pierce twelve steps on C = B. 312/13 = 1755.65 cents. MIDI pitch bend: 103,49 1755.65-1200= 555.65 cents.

Diminished octave on C♯ = C♮. Equal-tempered: 211/12:1 = 1100 cents.

*Perfect fifteenth on C = C". Just: 4:1 = 2400 cents. Equal-tempered: 22:1 = 2400 cents. MIDI pitch bend: none

*Bohlen-Pierce seven steps on C = H. 37/13 = 1024.13 cents. MIDI pitch bend: 92,71

Eighth octave on C. 16/1: 4800 cents.

*Bohlen-Pierce ten steps on C = A. 310/13 = 1463.04 cents. MIDI pitch bend: 22,52 1463.04-1200=263.04 cents

*Bohlen-Pierce eight steps on C = H♯/J♭. 38/13 = 1170.43 cents. MIDI pitch bend: 68,54

*Bohlen-Pierce six steps on C = G. 36/13 = 877.83 cents. MIDI pitch bend: 115,56

*Bohlen-Pierce nine steps on C = J. 39/13 = 1316.74 cents. MIDI pitch bend: 45,69 1316.74-1200=116.74 cents.

Octave on C. 32/1: 6000 cents.

Octave on C. 32/1: 6000 cents.

Octave on C. 16/1: 4800 cents.

*Bohlen-Pierce five steps on C = F♯/G♭. 35/13 = 731.52 cents. MIDI pitch bend: 11,74

*Bohlen-Pierce one step on C = C♯/D♭. 31/13 = 146.30 cents. MIDI pitch bend: 104,78

Octave on C. 1/8: 3600 cents.

*Bohlen-Pierce four steps on C = F. 34/13 = 585.22 cents. MIDI pitch bend: 34,59