36ed5: Difference between revisions
Created page with "The '''36 equal divisions of the fifth harmonic (5/1)''' is a tuning that divides the pentatave into 36 equal steps. It combines Carlos Alpha scale with quarter-comm..." |
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The '''36 equal divisions of the fifth harmonic ([[5/1]])''' is a tuning that divides the | {{Infobox ET}} | ||
The '''36 equal divisions of the fifth harmonic ([[5/1]])''' is a tuning that divides the pentave into 36 equal steps. It combines [[Carlos Alpha]] scale with [[quarter-comma meantone]]. The step size is 77.3976 cents, thus making the tuning correspond to 15.5044 [[EDO]]. As a consequence of this, 36ed5 completely misses [[2/1]]. | |||
== Theory == | == Theory == | ||
| Line 12: | Line 13: | ||
|- | |- | ||
| 5 || [[5/4]] || 386.9880 | | 5 || [[5/4]] || 386.9880 | ||
|- | |||
|6 | |||
|[[21/16]] | |||
|464.3856 | |||
|- | |- | ||
| 9 || [[3/2]] || [[Quarter-comma meantone|696.5784]] | | 9 || [[3/2]] || [[Quarter-comma meantone|696.5784]] | ||
| Line 17: | Line 22: | ||
| 19 || [[7/3]] || 1470.554 | | 19 || [[7/3]] || 1470.554 | ||
|- | |- | ||
| 28 || [[7/2]] || 2167. | | 28 || [[7/2]] || 2167.1329 | ||
|- | |- | ||
| 31 || [[4/1]] || 2399.326 | | 31 || [[4/1]] || 2399.326 | ||
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|} | |} | ||
== All intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 36 | |||
| num = 5 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 36 | |||
| num = 5 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
{{todo|expand}} | |||