36/35: Difference between revisions
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'''36/35''' | |||
{{Monzo| 2 2 -1 -1 }} | |||
48.77038 cents | |||
[[File:ji-36-35-csound-foscil-220hz.mp3]] [[:File:ji-36-35-csound-foscil-220hz.mp3|details]] | |||
The '''septimal quarter tone''' (ratio: 36/35, size: 48.77038 [[cent|cents]]) is the difference between [[10/9]] and [[8/7]], [[7/6]] and [[6/5]], [[5/4]] and [[9/7]], [[14/9]] and [[8/5]], [[5/3]] and [[12/7]], and [[7/4]] and [[9/5]]. It has a numerator which is both the sixth square number and the eighth [[triangular number]], leading to it being the product of two [[superparticular]] commas both as [[64/63]] * [[81/80]] and as [[66/65]] * [[78/77]]; it is also [[45/44]] * [[176/175]], [[51/50]] * [[120/119]] and [[128/125]] * [[225/224]]. | |||
== Links == | |||
* [http://en.wikipedia.org/wiki/Septimal_quarter_tone Septimal quarter tone - Wikipedia] | |||
[[Category:definition]] | |||
[[Category:interval]] | [[Category:interval]] | ||
[[Category:quartertone]] | [[Category:quartertone]] | ||
[[Category:septimal]] | [[Category:septimal]] | ||
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[[de:36/35]] | |||
Revision as of 20:54, 9 October 2018
36/35
[2 2 -1 -1⟩
48.77038 cents
The septimal quarter tone (ratio: 36/35, size: 48.77038 cents) is the difference between 10/9 and 8/7, 7/6 and 6/5, 5/4 and 9/7, 14/9 and 8/5, 5/3 and 12/7, and 7/4 and 9/5. It has a numerator which is both the sixth square number and the eighth triangular number, leading to it being the product of two superparticular commas both as 64/63 * 81/80 and as 66/65 * 78/77; it is also 45/44 * 176/175, 51/50 * 120/119 and 128/125 * 225/224.