35/34: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 35/34 | Monzo = -1 0 1 1 0 0 -1 | Cents = 50.18421 | Name = small septendecimal quartertone | Color name = | FJS name = A1<sup>35</sup><sub>17</su..."
 
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'''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]].  
'''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]].  


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

Revision as of 21:16, 18 December 2021

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}^{35}_{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