35/34: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 35/34
| Monzo = -1 0 1 1 0 0 -1
| Cents = 50.18421
| Name = small septendecimal quartertone
| Name = small septendecimal quartertone
| Color name =
| FJS name = A1<sup>35</sup><sub>17</sub>
| Sound =
}}
}}


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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:17-limit]]
[[Category:Quartertone]]
[[Category:Quartertone]]
[[Category:Superparticular]]

Revision as of 15:13, 25 October 2022

Interval information
Ratio 35/34
Factorization 2-1 × 5 × 7 × 17-1
Monzo [-1 0 1 1 0 0 -1
Size in cents 50.18421¢
Name small septendecimal quartertone
FJS name [math]\displaystyle{ \text{A1}^{5,7}_{17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 10.2167
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 31
Open this interval in xen-calc

35/34, the small septendecimal quartertone, is a 17-limit superparticular ratio. It arises as the difference between 35/32 and 17/16. In temperaments, it may be seen tempered together with 36/35 by 1225/1224, or with 34/33 by 1156/1155.

See also