256ed5: Difference between revisions
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== Theory == | == Theory == | ||
{| | {{Harmonics in equal|256|5}} | ||
In 256ed5, the just perfect fifth of [[3/2]], corresponds to approximately 64.5 steps, thus occurring almost halfway between the [[quarter-comma meantone]] fifth and it's next step. | In 256ed5, the just perfect fifth of [[3/2]], corresponds to approximately 64.5 steps, thus occurring almost halfway between the [[quarter-comma meantone]] fifth and it's next step. | ||
Uniquely, 6/5 is nearly perfect. | |||
== See also == | == See also == | ||
Revision as of 23:09, 17 January 2022
256 equal divisions of the 5th harmonic is an equal-step tuning of 10.884 cents per each step. It is equivalent to 110.2532 EDO.
256ed5 combines dual-fifth temperaments with quarter-comma meantone.
Theory
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.76 | +2.75 | +5.37 | +0.00 | -0.00 | +5.23 | +2.62 | -5.38 | -2.76 | -4.50 | -2.76 |
| Relative (%) | -25.3 | +25.3 | +49.4 | +0.0 | -0.0 | +48.0 | +24.0 | -49.4 | -25.3 | -41.3 | -25.4 | |
| Steps (reduced) |
110 (110) |
175 (175) |
221 (221) |
256 (0) |
285 (29) |
310 (54) |
331 (75) |
349 (93) |
366 (110) |
381 (125) |
395 (139) | |
In 256ed5, the just perfect fifth of 3/2, corresponds to approximately 64.5 steps, thus occurring almost halfway between the quarter-comma meantone fifth and it's next step.
Uniquely, 6/5 is nearly perfect.