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<span style="display: block; text-align: right;">'''[[:de:36/35|Deutsch]]'''
'''36/35'''


</span>
{{Monzo| 2 2 -1 -1 }}


'''36/35'''
48.77038 cents
|2 2 -1 -1&gt;


48.77038 cents
[[File:ji-36-35-csound-foscil-220hz.mp3]] [[:File:ji-36-35-csound-foscil-220hz.mp3|details]]


[[File:ji-36-35-csound-foscil-220hz.mp3]] [[:File:ji-36-35-csound-foscil-220hz.mp3|sound sample]] [[: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]].


The '''septimal quarter tone''' (ratio: 36/35, size: 48.77038 [[cent|cents]]) is the difference between [[10/9|10/9]] and [[8/7|8/7]], [[7/6|7/6]] and [[6/5|6/5]], [[5/4|5/4]] and [[9/7|9/7]], [[14/9|14/9]] and [[8/5|8/5]], [[5/3|5/3]] and [[12/7|12/7]], and [[7/4|7/4]] and [[9/5|9/5]]. It has a numerator which is both the sixth square number and the eighth [[triangular_number|triangular number]], leading to it being the product of two [[superparticular|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]


[http://en.wikipedia.org/wiki/Septimal_quarter_tone http://en.wikipedia.org/wiki/Septimal_quarter_tone]      [[Category:definition]]
[[Category:definition]]
[[Category:interval]]
[[Category:interval]]
[[Category:quartertone]]
[[Category:quartertone]]
[[Category:septimal]]
[[Category:septimal]]
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[[de:36/35]]
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