97ed12: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
==Harmonics== | 97ed12 is very nearly identical to [[27edo|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. This [[stretched and compressed tuning|compresses the octave]] by about 2.45{{c}}. | ||
== Harmonics == | |||
{{Harmonics in equal|97|12|1|prec=2|columns=15}} | {{Harmonics in equal|97|12|1|prec=2|columns=15}} | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 15:00, 25 February 2025
| ← 96ed12 | 97ed12 | 98ed12 → |
97 equal divisions of the 12th harmonic (abbreviated 97ed12) is a nonoctave tuning system that divides the interval of 12/1 into 97 equal parts of about 44.4 ¢ each. Each step represents a frequency ratio of 121/97, or the 97th root of 12.
97ed12 is very nearly identical to 27 EDO, but with the 12/1 rather than the 2/1 being just. This compresses the octave by about 2.45 ¢.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |
| 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 | |
| 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) | |