40edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''40EDT''' is the [[Edt|equal division of the third harmonic]] into 40 parts of 47.5489 [[cent|cents]] each, corresponding to 25.2372 [[edo]]. It is related to the regular temperament which tempers out |440 -219 -40> in the 5-limit, which is supported by [[101edo|101]], [[429edo|429]], [[530edo|530]], [[959edo|959]], [[1388edo|1388]], [[1817edo|1817]], [[2246edo|2246]] and [[2347edo|2347]] EDOs. | '''40EDT''' is the [[Edt|equal division of the third harmonic]] into 40 parts of 47.5489 [[cent|cents]] each, corresponding to 25.2372 [[edo]]. It is related to the regular temperament which tempers out |440 -219 -40> in the 5-limit, which is supported by [[101edo|101]], [[429edo|429]], [[530edo|530]], [[959edo|959]], [[1388edo|1388]], [[1817edo|1817]], [[2246edo|2246]] and [[2347edo|2347]] EDOs. | ||
{{Harmonics in equal|40|3|1|intervals=prime|columns=15}} | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 00:31, 25 September 2024
| ← 39edt | 40edt | 41edt → |
40EDT is the equal division of the third harmonic into 40 parts of 47.5489 cents each, corresponding to 25.2372 edo. It is related to the regular temperament which tempers out |440 -219 -40> in the 5-limit, which is supported by 101, 429, 530, 959, 1388, 1817, 2246 and 2347 EDOs.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -11.3 | +0.0 | +19.1 | +7.1 | -14.6 | -18.5 | -7.4 | -9.8 | -7.7 | +18.9 | -1.4 | -22.4 | -10.0 | +2.7 | -8.7 |
| Relative (%) | -23.7 | +0.0 | +40.1 | +15.0 | -30.6 | -38.9 | -15.6 | -20.6 | -16.2 | +39.8 | -3.0 | -47.2 | -21.0 | +5.6 | -18.2 | |
| Steps (reduced) |
25 (25) |
40 (0) |
59 (19) |
71 (31) |
87 (7) |
93 (13) |
103 (23) |
107 (27) |
114 (34) |
123 (3) |
125 (5) |
131 (11) |
135 (15) |
137 (17) |
140 (20) | |