197edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''197 equal divisions of the tritave''' ('''197edt''') is the [[nonoctave]] [[tuning system]] derived by dividing the [[tritave]] (3/1) into 197 equal steps of approximately 9.655 [[cent]]s each, or the 197th root of 3. | |||
197edt can be described as approximately 124.293[[edo]]. This implies that each step of 39edt can be approximated by 7 steps of [[870edo]]. | |||
It is a very strong no-twos, no-fives 17-limit system. | |||
==Harmonics== | |||
{{Harmonics in equal|197|3|1|intervals=prime}} | |||
{{Stub}} | {{Stub}} | ||
Revision as of 12:43, 12 July 2024
| ← 196edt | 197edt | 198edt → |
197 equal divisions of the tritave (197edt) is the nonoctave tuning system derived by dividing the tritave (3/1) into 197 equal steps of approximately 9.655 cents each, or the 197th root of 3.
197edt can be described as approximately 124.293edo. This implies that each step of 39edt can be approximated by 7 steps of 870edo.
It is a very strong no-twos, no-fives 17-limit system.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.83 | +0.00 | +3.86 | +0.63 | +0.16 | +0.59 | -0.42 | +0.11 | -2.39 | +1.80 | +2.19 |
| Relative (%) | -29.3 | +0.0 | +40.0 | +6.5 | +1.6 | +6.1 | -4.4 | +1.2 | -24.8 | +18.6 | +22.7 | |
| Steps (reduced) |
124 (124) |
197 (0) |
289 (92) |
349 (152) |
430 (36) |
460 (66) |
508 (114) |
528 (134) |
562 (168) |
604 (13) |
616 (25) | |
|
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