10ed7/4: Difference between revisions
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'''10ED7/4''' is the [[Equal-step tuning|equal division]] of the [[7/4|harmonic seventh]] into ten parts of 96.8826 [[cent|cents]] each, corresponding to 12.3861 [[EDO]]. | '''10ED7/4''' is the [[Equal-step tuning|equal division]] of the [[7/4|harmonic seventh]] into ten parts of 96.8826 [[cent|cents]] each, corresponding to 12.3861 [[EDO]]. | ||
== Theory == | |||
This tuning tempers out 36/35 and 50/49 in the 7-limit; 55/54 in the 11-limit; 34/33 and 56/51 in the 17-limit; 31/30 in the 31-limit; and 38/37 in the 37-limit. | |||
== Intervals == | == Intervals == | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 10ed7/4 | |||
|- | |- | ||
! | Degree | ! | Degree | ||
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The following table shows how [[15-odd-limit intervals]] are represented in 10ed7/4 (can be ordered by absolute error). | The following table shows how [[15-odd-limit intervals]] are represented in 10ed7/4 (can be ordered by absolute error). | ||
{| class="wikitable sortable" | {| class="wikitable sortable mw-collapsible" | ||
|+ [[Direct approximation]] (even if [[inconsistent]]) | |+ [[Direct approximation]] (even if [[inconsistent]]) | ||
! Interval(s) | ! Interval(s) | ||
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[[Category:Subminor seventh]] | [[Category:Subminor seventh]] | ||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||