6ed11: Difference between revisions
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'''6ED11''' is the [[Ed11|equal division of the 11th harmonic]] into six parts of 691.8863 [[cent|cents]] each. It is related to the [[Meantone family|meanenneadecal temperament]], which is supported by [[7edo]], [[12edo]], and [[19edo]]. | '''6ED11''' is the [[Ed11|equal division of the 11th harmonic]] into six parts of 691.8863 [[cent|cents]] each. It is related to the [[Meantone family|meanenneadecal temperament]], which is supported by [[7edo]], [[12edo]], and [[19edo]]. | ||
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| | [[11/8|undecimal fourth]] plus three octaves | | | [[11/8|undecimal fourth]] plus three octaves | ||
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Latest revision as of 22:18, 10 August 2025
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| ← 5ed11 | 6ed11 | 7ed11 → |
6ED11 is the equal division of the 11th harmonic into six parts of 691.8863 cents each. It is related to the meanenneadecal temperament, which is supported by 7edo, 12edo, and 19edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 691.8863 | 3/2 | |
| 2 | 1383.7726 | 11/5, 20/9 | |
| 3 | 2075.6590 | 33/10, 10/3 | |
| 4 | 2767.5453 | 99/20, 5/1 | |
| 5 | 3459.4316 | 22/3 | |
| 6 | 4151.3179 | exact 11/1 | undecimal fourth plus three octaves |