1,212 Royalty-Free Audio Tracks for "17 Equal Temperament Intervals"

*Eight-hundred-thirty-third harmonic on C = A+. Just: 833/512 = 842.61 cents. Limit: 17-limit. MIDI pitch bend: 81,77

*Eight-hundred-sixty-seventh harmonic on C = G. Just: 867/512 = 911.87 cents. Limit: 17-limit. MIDI pitch bend: 102,67

*Seven-hundred-sixty-fifth harmonic on C = F+. Just: 765/512 = 695.18 cents. Limit: 17-limit. MIDI pitch bend: 58,62

*Four-hundred-twenty-fifth harmonic on C = G. Just: 425/256 = 877.58 cents. Limit: 17-limit. MIDI pitch bend: 105,56

*Six-hundred-sixty-third harmonic on C = E. Just: 663/512 = 447.44 cents. Limit: 17-limit. MIDI pitch bend: 23,79

*Three-hundred-fifty-seventh harmonic on C = F♯+. Just: 357/256 = 575.74 cents. Limit: 17-limit. MIDI pitch bend: 30,56

*Five-hundred-sixty-first harmonic on C = C↑♯. Just: 561/512 = 158.23 cents. Limit: 17-limit. MIDI pitch bend: 81,50

*Nine-hundred-thirty-fifth harmonic on C = A↑♯. Just: 935/512 = 1042.59 cents. Limit: 17-limit. MIDI pitch bend: 80,77

*Two-hundred-eighty-ninth harmonic on C = C. Just: 289:256 = 209.91 cents. Limit: 17-limit. MIDI pitch bend: 21,67

*Five-hundred-ninety-fifth harmonic on C = D♯. Just: 595/512 = 260.10 cents. Limit: 17-limit. MIDI pitch bend: 29,51

*Superminor third on C = D♯-. 17:14 = 336.13 cents. Limit: 17-limit.

Diatonic scale in 19-et on C. MIDI pitch bend matches intervals. Steps: 0, 3, 6, 8, 11, 14, 17, and 19. Cents: 0, 189.473684210526315789, 378.947368421052631578, 505.263157894736842105, 694.736842105263157894, 884.210526315789473684, 1073.684210526315789473, and 1200 cents. Created in Sibelius with midi pitch bend on 8 (6) different instruments.

72-et diatonic scale on C. Steps: 0, 12, 23, 30, 42, 53, 68, 72. MIDI pitch bend matches intervals

53-tet scale on C (22.64 cent steps). MIDI pitch bend matches intervals.

*Hundred-eighty-seventh harmonic on C = F♯↑. Just: 187:128 = 656.27 cents. Limit: 17-limit. MIDI pitch bend: 0,82 on TT

*Lesser septendecimal quarter tone on C = D♭ (Ben Johnston's notation). Just: 35:34 = 50.18 cents. Limit: 17-limit. MIDI pitch bend: 7,80 on PU

Dream Chord on G, tuned 12:16:17:18. MIDI pitch bend appears to match intervals.

*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

*Hundred-nineteenth harmonic on C = B. Just: 119/64 = 1073.78 cents. Equal-tempered: 211/12:1 = 1100 cents. Limit: 17-limit. MIDI pitch bend: 78,87

*Two-hundred-twenty-first harmonic on C = A. Just: 221/128 = 945.48 cents. Limit: 17-limit. MIDI pitch bend: 70,78

5-tet scale on C. Pitch bend matches intervals.

*Fifty-first harmonic on C = G♯. Just: 51/32 = 806.91 cents. Equal-tempered: 28/12:1 = 800 cents. Limit: 17-limit. MIDI pitch bend: 27,66

5 7 9 chord on E, eight steps in the octave. Other non-octave tunings investigated by Bohlen besides the Bohlen-Pierce scale include eight steps in the octave, based on 5:7:9 and of which only the just version would be used. Traditional notation: E B♭ D.

19-tet scale on C (63.16 cent steps). MIDI pitch bend matches intervals.

7-tone equal tempered scale represented in traditional notation. + and - indicates approximate distance above and below notated pitch. Pitch bend matches intervals.

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

*Eighty-fifth harmonic on C = E♯ (Ben Johnston's notation). Just: 85:64 = 491.27 cents. Equal-tempered: 25/12:1 = 500 cents. Limit: 17-limit. MIDI pitch bend: 26,93 on M3

Melodic half step in Bohlen-Pierce tuning (Equal Tempered)

Regular diatonic tuning 72-tone. A regular diatonic tuning is five "whole tones", T, and two half tones, S, arranged in any rotation of TTSTTTS. In 12-tone, T=200 cents and S=100 cents. In 72-tone, T=233.3 cents and S=16.6. This is that scale: C = 0 D = 233.3 E# = 466.6 F# = 483.3 G = 716.6 A = 950 B# = 1183.3 C = 1200

Regular diatonic tuning 53-tone. A regular diatonic tuning is five "whole tones", T, and two half tones, S, arranged in any rotation of TTSTTTS.

Regular diatonic tuning 31-tone. A regular diatonic tuning is five "whole tones", T, and two half tones, S, arranged in any rotation of TTSTTTS.

21-tet scale on C (57.14 cent steps). Easley Blackwood, Jr.'s notation for 21 equal temperament. Intervals are notated similarly to those they approximate and there are distinct enharmonic equivalents (E-sharp-down = F-down). MIDI pitch bend matches intervals.

16-tet scale on C (75 cent steps). Easley Blackwood, Jr.'s notation for 16 equal temperament. Intervals are notated similarly to those they approximate and there are fewer enharmonic equivalents. MIDI pitch bend appears to match intervals (0,56, etc.).

*Hundred-fifty-third harmonic on C = D♯ (Ben Johnston's notation). Just: 153:128 = 308.87 cents. Limit: 17-limit. MIDI pitch bend: 107,66

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

Miracle scale, derived from the secor (s = 116.72 cents), plus the difference between 10 secors and a perfect octave (q = 32.84 cents). MIDI pitch bend appears to match intervals. The Miracle scale is 0 1 2 3 4 5 6 7 8 9 0' s s s s s s s s s s+q The difference between s and q (r) is used in the File:Blackjack scale.mid.

Blackjack scale, derived from the secor (s = 116.72 cents), the difference between 10 secors and a perfect octave (q = 32.84 cents), and the difference between that and a secor (r = s-q = 83.88 cents). MIDI pitch bend appears to match intervals. If the Miracle scale is 0 1 2 3 4 5 6 7 8 9 0' s s s s s s s s s s +q q +r q +r q +r q +r q +r q +r q +r q +r q +r q +r +q then the Blackjack scale is 0 >0 1 >1 2 >2 3 >3 4 >4 5 >5 6 >6 7 >7 8 >8 9 >9 <0 0' q r q r q r q r q r q r q r q r q r q r q

Alternate Title: The Battle Hymn of the Republic Henry Reed's air is evidence of the folksongs in circulation about John Brown that became the basis for Julia Ward Howe's patriotic hymn "The Battle Hymn of the Republic." His version implies a verse and refrain using essentially the same melodic material, as is the case with "The Battle Hymn of the Republic." Title change: The title appeared in the fieldnotes as "John Brown's a-Hangin' on a Sour Apple Tree." Key: D Meter: 4/4 Strains: 2 (middle-middle, 4-4) Rendition: 1-2-1 Phrase Structure: ABAC A'B'A'C (abcd abef a'b'c'd' abef) Compass: 9

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

Triad in Bohlen-Pierce tuning (0 7 10). Title refers to number of semitones (unison=0).

BP chromatic scale et. MIDI pitch bend appears to match intervals.

Triad in Equal Tempered Bohlen-Pierce tuning (0 6 10 semitones). Title refers to harmonics (fundamental=1:3:9:etc.).

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".

Klaviersonate Nr. 17 d-moll, op. 31.2 Der Sturm - III. allegretto

*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.

*Beta scale 15 steps on C. (3:2)15/11 : 1 = 957.21 cents. MIDI pitch bend: 39,82 on M6 MIDI.

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