1,132 Royalty-Free Audio Tracks for "Superparticular Intervals"

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

*Undecimal fifth tone on C = C↓#+ (Ben Johnston's notation). Just: 45/44 = 38.91 cents. Limit: 11-limit. MIDI pitch bend: 57,76

*31-limit eighth tone on C = D♭ (Ben Johnston's notation). Just: 63/62 = 27.70 cents. Limit: 31-limit. MIDI pitch bend: 110,72

*Difference between 19:16 (E♭) & 6:5 (E♭) on C = C. Just: 96 : 95 = 18.13 cents. Limit: 19-limit. MIDI pitch bend: 103,69

*Just chromatic semitone on C = C♯ (Ben Johnston's notation). 25:24 = 70.67 cents. Limit: 5-limit. MIDI pitch bend: 79,86 on PU

*Lesser septendecimal sixth tone on C = C11- (Ben Johnston's notation). Just: 55/54 = 31.77 cents. Limit: 17-limit. MIDI pitch bend: 21,74

*Septimal diatonic semitone/Major diatonic semitone on C = C♯ (Ben Johnston's notation). 15:14 = 119.44 cents. Limit: 7-limit. MIDI pitch bend: 28,70

*Septimal chromatic semitone on C = D♭ (Ben Johnston's notation). 21:20 = 84.47 cents. Limit: 7-limit. MIDI pitch bend: 4,91 on PU

*29-limit seventh tone on C = C (Ben Johnston's notation). Just: 58/57 = 30.11 cents. Limit: 29-limit. MIDI pitch bend: 81,73

*Greater septendecimal quarter tone on C = C↓♯ (Ben Johnston's notation). Just: 34:33 = 51.68 cents. Limit: 17-limit. MIDI pitch bend: 69,80 on PU

*Greater 41-limit fifth tone on C = C (Ben Johnston's notation). Just: 41:40 = 42.75 cents. Limit: 41-limit. MIDI pitch bend: 87,77

*Lesser 43-limit fifth tone on C = C↑ (Ben Johnston's notation). Just: 44/43 = 39.80 cents. Limit: 43-limit. MIDI pitch bend: 94,76

*Greater 43-limit fifth tone on C = C- (Ben Johnston's notation). Just: 43/42 = 40.74 cents. Limit: 43-limit. MIDI pitch bend: 4,77

*Greater tridecimal two-third tone on C = D♭- (Ben Johnston's notation). Just: 13:12 = 138.57 cents. Limit: 13-limit. MIDI pitch bend: 44,76

*Lesser 47-limit fifth tone on C = C (Ben Johnston's notation). Just: 48/47 = 36.45 cents. Limit: 47-limit. MIDI pitch bend: 84,75

*Septimal minor second on C = D♯- (Ben Johnston's notation). Just: 28/27 = 62.96 cents. Equal-tempered: 21/12:1 = 100 cents. Limit: 7-limit. MIDI pitch bend: 19,84 on PU

*Lesser 29-limit quarter tone on C = C♯ (Ben Johnston's notation). Just: 30:29 = 58.69 cents. Equal-tempered: 21/24:1 = 50 cents. Limit: 29-limit. MIDI pitch bend: 100,82 on PU

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

*Septimal comma on C = C- (Ben Johnston's notation). Just: 64/63 = 27.26 cents. Limit: 7-limit. MIDI pitch bend: 93,72

*Septimal major second on C = D- (Ben Johnston's notation). 8:7 = 231.17 cents. Limit: 7-limit. MIDI pitch bend: 125,73

*Septimal minor third on C = E♭ (Ben Johnston's notation). 7:6 = 266.87 cents. Limit: 7-limit. MIDI pitch bend: 51,53

*Just minor third on C = E♭ (Ben Johnston's notation). 6:5 = 315.64 cents. Limit: 5-limit. MIDI pitch bend: 1,69

*19-limit seventh tone on C = C (Ben Johnston's notation). Just: 57/56 = 30.64 cents. Limit: 19-limit. MIDI pitch bend: 103,73

*(Lesser) undecimal neutral second on C = D↓ (Ben Johnston's notation). 12/11 = 150.64 cents.

*Septimal third-tone on C = D♭- (Ben Johnston's notation). Just: 28:27 = 62.96 cents. Limit: 7-limit.

*Five-hundred-thirteenth harmonic on C = C+. Just: 513/512 = 3.38 cents. Limit: 19-limit. MIDI pitch bend: 10,65

*Greater undecimal neutral second on C = D↑♭- (Ben Johnston's notation). 11/10 = 165 cents. Limit: 11-limit. MIDI pitch bend: 103,84 on m2

*Just diatonic semitone on C = D♭- (Ben Johnston's notation). Just: 16:15 = 111.73 cents. Limit: 5-limit. MIDI pitch bend: 79,67 Created in Sibelius.

*Thirty-third harmonic on C = C↑ (Ben Johnston's notation). 33/32 = 53.27 cents. Limit: 11-limit. MIDI pitch bend: 6,49 Other accidentals[edit] v • d • e #7 = 5·7 : 2·32 = 35 : 18 = -48.77 cents. vs. #L 11 = 3·11 : 25 = 33 : 32 = 53.27 cents. vs. U11 13 = 5·13 : 26 = 65 : 64 = 26.84 cents. vs. E1 17 = 3·17 : 2·52 = 51 : 50 = 34.28 cents. vs. L1 19 = 5·19 : 25·3 = 95 : 96 = -18.13 cents. vs. U19 23 = 2·23 : 32·5 = 46 : 45 = 38.05 cents. vs. U23 29 = 5·29 : 24·32 = 145 : 144 = 11.98 cents. vs. U29 31 = 31 : 2·3·5 = 31 : 30 = 56.77 cents. vs. 1E LE = 3·52 : 2·37 = 75 : 74 = 23.24 cents. vs. 37 41 = 41 : 23·5 = 41 : 40 = 42.75 cents. vs. U41 43 = 3·43 : 27 = 129 : 128 = 13.47 cents. vs. U43 47 = 24·3 : 47 = 48 : 47 = -36.45 cents. vs. U47 53 = 25·5 : 3·53 = 160 : 159 = -10.85 cents. vs. U53 #7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53... #L, U11, E1, L1, U19, U23, U29, 1E, LE, U41, U43, U47, U53...

*129th harmonic on C = C (Ben Johnston's notation). Just: 129/128 = 13.47 cents. Limit: 43-limit. MIDI pitch bend: 40,68

*Major semitone/Minor diatonic semitone (17th harmoic) on C = C17♯ (Ben Johnston's notation). 17/16 = 104.96 cents. Limit: 17-limit. MIDI pitch bend: 75,65

*Just major third on C = E. Just: 5:4 = 386.31 cents. Limit: 5-limit. MIDI pitch bend: 79,59 A M3 with pitch bend on 79,59 for about 386.31 cents rather than 400.

*Major semitone/Minor diatonic semitone on C = C17♯ (Ben Johnston's notation). 17/16 = 104.96 cents. Limit: 17-limit. 17th harmonic.

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

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.

Minor tenth on C - As MIDI

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

Octave and Minor third on C

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).

Melodic perfect fifth descending.

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

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

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