36/35: Difference between revisions
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m Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot |
m Normalising usage of Infobox Interval |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal quarter tone | | Name = septimal quarter tone | ||
| Color name = rg1, rugu unison | | Color name = rg1, rugu unison | ||
| Sound = ji-36-35-csound-foscil-220hz.mp3 | | Sound = ji-36-35-csound-foscil-220hz.mp3 | ||
| Comma = yes | |||
}} | }} | ||
{{Wikipedia|Septimal quarter tone}} | {{Wikipedia|Septimal quarter tone}} | ||
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* [[Mint temperaments]], the collection of rank-2 temperaments where it is tempered out | * [[Mint temperaments]], the collection of rank-2 temperaments where it is tempered out | ||
[[Category:Quartertone]] | [[Category:Quartertone]] | ||
[[Category:Mint]] | [[Category:Mint]] | ||
<!-- interwiki --> | <!-- interwiki --> | ||
[[de:36/35]] | [[de:36/35]] |
Revision as of 15:31, 25 October 2022
Interval information |
reduced
S8 × S9
[sound info]
36/35, the septimal quarter tone (~48.8 ¢) 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, 128/125 × 225/224, 50/49 × 126/125 and 56/55 × 99/98.
See also
- 35/18 – its octave complement
- 35/24 – its fifth complement
- Gallery of just intervals
- List of superparticular intervals
- Mint family, the family of rank-3 temperaments where it is tempered out
- Mint temperaments, the collection of rank-2 temperaments where it is tempered out