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.
A12 4 7 10 on C. Traditional notation: C B♭ E. MIDI pitch bend matches intervals. Other non-octave tunings investigated by Bohlen besides the Bohlen-Pierce scale include twelve steps in the tritave, named A12 by Enrique Moreno [1] and based on the 4:7:10 chord.
Author: Created by Hyacinth (talk) using Sibelius 5.
*Lesser undecimal neutral seventh on C = B↓ (Ben Johnston's notation). 20:11 = 1035 cents. Limit: 11-limit.
Author: Created by Hyacinth (talk) in Sibelius with midi pitch bend on 75 for 1034.375 cents rather than 1035. New version a m7 on 26,75 for 1035.009765625 cents rather than 1035.
*Wolf fourth on C = F+ (Ben Johnston's notation). 27:20 = 519.55 cents. Limit: 5-limit.
Author: Created by Hyacinth (talk) in Sibelius. Midi pitch bend on 71 for 521.875 cents rather than 519.55. New version: A P4 with midi pitch bend on 33,70 for 519.5556640625 cents rather than 519.55.
*1 step in 72 equal temperament on C. Equal-tempered: 21/72:1 = 16.67 cents. MIDI pitch bend: 43,69 Created in Sibelius with midi pitch bend on 69 for 15.625 cents rather than 16.667. New version a PU on 43,69 for 16.6748046875 cents.
*14 steps in 15 equal temperament on C = B↓ (Easley Blackwood's notation). Equal-tempered: 214/15:1 = 1120 cents. MIDI pitch bend: 51,70 Created by Hyacinth (talk) using Sibelius 5 with midi pitch bend on ~179,69 on B.
*Just minor third on C = E♭ (Ben Johnston's notation). 6:5 = 315.64 cents. Limit: 5-limit. MIDI pitch bend: 1,69
Author: Created by Hyacinth (talk) in Sibelius. Midi pitch bend on 69 for 315.625 cents rather than 315.64. New version a m3 on 1,69 for 315.6494140625 cents rather than 315.64.
*13 steps in 15 equal temperament on C = A↑ (Easley Blackwood's notation). Equal-tempered: 213/15:1 = 1040 cents. MIDI pitch bend: 102,108 on M6 Created by Hyacinth (talk) using Sibelius 5 with midi pitch bend on ~102,76 on Bb.
*11 steps in 19 equal temperament on C = G♮ (Easley Blackwood's notation). Equal-tempered: 211/19:1 = 694.74 cents. MIDI pitch bend: 40,62 Created in Sibelius with midi pitch bend on 94 for 693.75 cents rather than 694.76. New version a TT on 40,94 for 694.7265625 cents rather than 694.76.
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).
*Undecimal neutral third on C = E↑♭- (Ben Johnston's notation). 11:9 = 347.41 cents. Limit: 11-limit.
Author: Created by Hyacinth (talk) in Sibelius with midi pitch bend on 47 for 346.875 cents rather than 347.41. New version a m3 on 22,79 for 347.412109375 cents rather than 347.41.
*8 steps in 72 equal temperament on C. Equal-tempered: 28/72=1/9:1 = 133.33 cents. MIDI pitch bend: 85,74 Created in Sibelius with midi pitch bend on 75 for 134.375 cents rather than 133.336. New version a m2 on 85,74 for 133.3251953125 cents rather than 133.336.
*1 steps in 19 equal temperament on C = C♯ (Easley Blackwood's notation). Equal-tempered: 21/19:1 = 63.16 cents. MIDI pitch bend: 26,84 Created in Sibelius with midi pitch bend on 52 for 62.5 cents rather than 63.16. New version a PU on 26,84 for 63.134765625 cents.
*2 steps in 19 equal temperament on C = D♭ (Easley Blackwood's notation). Equal-tempered: 22/19:1 = 126.32 cents. MIDI pitch bend: 54,72 Created in Sibelius with midi pitch bend on 72 for 125 cents rather than 126.32. New version a m2 on 53,72 for 126.2939453125 cents rather than 126.32.
*11 steps in 15 equal temperament on C = A↓ (Easley Blackwood's notation). Equal-tempered: 211/15:1 = 880 cents. MIDI pitch bend: 77,57 Created by Hyacinth (talk) using Sibelius 5 with midi pitch bend on ~77,57 on A.
*Septimal minor third on C = E♭ (Ben Johnston's notation). 7:6 = 266.87 cents. Limit: 7-limit.
Author: Created by Hyacinth (talk) 23:34, 13 December 2009 in Sibelius with quarter tone playback, midi pitch bend on 53 for 1465.625 cents rather than 1466.87. New version created in Sibelius with midi pitch bend on 51,85 for 1466.8701171875 cents rather than 1466.87 cents.
