19th harmonic minor triad on C. MIDI pitch bend matches intervals.
Author: Created by Hyacinth (talk) in Sibelius 5 with midi pitch bend on 26,63 for 297.513016 cents rather than 300 and 80,64 for 701.953125 cents rather than 700.
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.
Author: Created by Hyacinth (talk) 06:34, 25 November 2010 using Sibelius 5.
7-tone equal tempered scale represented in traditional notation. + and - indicates approximate distance above and below notated pitch. Pitch bend matches intervals.
Author: Created by Hyacinth (talk) 23:38, 12 October 2010 using Sibelius 5.
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
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.).
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
*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.
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.
