97ed12: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Ed12|Division of the | '''[[Ed12|Division of the twelfth harmonic]] into 97 equal parts''' (97ED12) is very nearly identical to [[27edo|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.45 [[cent]]s [[stretched and compressed tuning|compressed]] and the step size is about 44.35 cents. | ||
==Harmonics== | ==Harmonics== | ||
Revision as of 18:07, 15 May 2024
| ← 96ed12 | 97ed12 | 98ed12 → |
Division of the twelfth harmonic into 97 equal parts (97ED12) is very nearly identical to 27 EDO, but with the 12/1 rather than the 2/1 being just. The octave is about 2.45 cents compressed and the step size is about 44.35 cents.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.55 | +5.10 | -5.10 | +7.74 | +2.55 | +1.78 | -7.65 | +10.19 | +5.19 | +17.59 | +0.00 | -5.52 | -0.77 | +12.84 | -10.19 | +17.90 | +7.65 | +2.74 | +2.64 | +6.88 | +15.04 | -17.57 | -2.55 |
| Relative (%) | -5.7 | +11.5 | -11.5 | +17.5 | +5.7 | +4.0 | -17.2 | +23.0 | +11.7 | +39.7 | +0.0 | -12.5 | -1.7 | +28.9 | -23.0 | +40.4 | +17.2 | +6.2 | +6.0 | +15.5 | +33.9 | -39.6 | -5.7 | |
| Steps (reduced) |
27 (27) |
43 (43) |
54 (54) |
63 (63) |
70 (70) |
76 (76) |
81 (81) |
86 (86) |
90 (90) |
94 (94) |
97 (0) |
100 (3) |
103 (6) |
106 (9) |
108 (11) |
111 (14) |
113 (16) |
115 (18) |
117 (20) |
119 (22) |
121 (24) |
122 (25) |
124 (27) | |