6edo: Difference between revisions
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Expand on properties of edo, and show how it crushes the distinction between the 3-limit & 13-limit by mapping 3/2 and 13/8 to the same step. |
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| ja = 6平均律 | | ja = 6平均律 | ||
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'''6-EDO''' divides the 1200-[[cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation. | '''6-EDO''' divides the 1200-[[cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation. It is the first edo that is not a [[The_Riemann_zeta_function_and_tuning#Zeta_EDO_lists|zeta peak]], has lower [[Consistency_levels_of_small_EDOs|consistency]] than the one that precedes it, and the highest edo that has no single period mode of symmetry scales other than using the single step as a generator. This means it is relatively poor for it's size at creating traditional tonal music, with 5 & 7 both having much better representations of the third harmonic, but has still seen more use than most edos other than 12, since it can be played on any 12 tone instrument. | ||
{{primes in edo|6|columns=6|prec=2}} | |||
Related EDOs: | Related EDOs: | ||
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| Lozoyo | | Lozoyo | ||
| Keenanisma | | Keenanisma | ||
|- | |||
| 13 | |||
| [[13/12]] | |||
| {{monzo| -2 -1 0 0 0 1 }} | |||
| 138.57 | |||
| tho 2nd | |||
| tridecimal neutral second | |||
|} | |} | ||
<references/> | <references/> | ||
==Music== | ==Music== | ||