197edt: Difference between revisions
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197edt can be described as approximately 124.293[[edo]]. This implies that each step of 39edt can be approximated by 7 steps of [[870edo]]. | 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 | It is a very strong no-twos, no-fives 19-limit system. | ||
==Harmonics== | ==Harmonics== | ||
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 19-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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