75edt: Difference between revisions
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75EDT is the 14th [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos zeta peak EDT]]. | 75EDT is the 14th [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos zeta peak EDT]]. | ||
==Harmonics== | |||
{{Harmonics in equal|75|3|1|intervals=prime|columns=16}} | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 22:22, 26 August 2024
| ← 74edt | 75edt | 76edt → |
75EDT is the equal division of the third harmonic into 75 parts of 25.3594 cents each, corresponding to 47.3197 edo. It is related to the 7-limit temperament which tempers out 2401/2400 and |-130 138 -37 -1>, which is supported by 284edo, 1183edo, 1467edo, and 2650edo among others.
75EDT is the 14th no-twos zeta peak EDT.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | 53 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -8.1 | +0.0 | +3.2 | +4.0 | +7.6 | -2.6 | -10.6 | -0.3 | -1.4 | +3.1 | -10.9 | +12.4 | +12.2 | +5.8 | +4.0 | -1.1 |
| Relative (%) | -32.0 | +0.0 | +12.7 | +15.7 | +30.1 | -10.4 | -41.8 | -1.1 | -5.4 | +12.2 | -43.1 | +49.0 | +48.2 | +23.1 | +15.8 | -4.4 | |
| Steps (reduced) |
47 (47) |
75 (0) |
110 (35) |
133 (58) |
164 (14) |
175 (25) |
193 (43) |
201 (51) |
214 (64) |
230 (5) |
234 (9) |
247 (22) |
254 (29) |
257 (32) |
263 (38) |
271 (46) | |