256ed5: Difference between revisions
No edit summary |
m Removing from Category:Ed5 using Cat-a-lot |
||
| (4 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | |||
'''256 equal divisions of the 5th harmonic''' is an equal-step tuning where each step represents a frequency ratio of 256th root of 5, which amounts to 3.90625 millipentaves or about 10.884 cents. It is equivalent to 110.2532 EDO. | '''256 equal divisions of the 5th harmonic''' is an equal-step tuning where each step represents a frequency ratio of 256th root of 5, which amounts to 3.90625 millipentaves or about 10.884 cents. It is equivalent to 110.2532 EDO. | ||
256ed5 combines [[dual-fifth | 256ed5 combines [[Dual-fifth system|dual-fifth systems]] with [[quarter-comma meantone]]. | ||
== Theory == | == Theory == | ||
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. | Uniquely, [[6/5]] is nearly perfect. | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 256 | |||
| num = 5 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 256 | |||
| num = 5 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Table of intervals == | == Table of intervals == | ||
| Line 59: | Line 73: | ||
* [[110edo]] | * [[110edo]] | ||
{{todo|expand}} | |||