34/33: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 34/33
| Monzo = 1 -1 0 0 -1 0 1
| Cents = 51.68247
| Name = large septendecimal quartertone
| Name = large septendecimal quartertone
| Color name = 17o1u2, solu 2nd
| Color name = 17o1u2, solu 2nd
| FJS name = m2<sup>17</sup><sub>11</sub>
| Sound =
}}
}}
'''34/33''', the '''large septendecimal quartertone''', is a [[17-limit]] [[superparticular]] ratio. It arises as the difference between [[17/16]] and [[33/32]]. In temperaments, it may be seen tempered together with 33/32 through [[1089/1088]], or with [[35/34]] through [[1156/1155]].  
'''34/33''', the '''large septendecimal quartertone''', is a [[17-limit]] [[superparticular]] ratio. It arises as the difference between [[17/16]] and [[33/32]]. In temperaments, it may be seen tempered together with 33/32 through [[1089/1088]], or with [[35/34]] through [[1156/1155]].  
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


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

Revision as of 15:09, 25 October 2022

Interval information
Ratio 34/33
Factorization 2 × 3-1 × 11-1 × 17
Monzo [1 -1 0 0 -1 0 1
Size in cents 51.68247¢
Name large septendecimal quartertone
Color name 17o1u2, solu 2nd
FJS name [math]\displaystyle{ \text{m2}^{17}_{11} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 10.1319
Weil norm (log2 max(n, d)) 10.1749
Wilson norm (sopfr(nd)) 33
Open this interval in xen-calc

34/33, the large septendecimal quartertone, is a 17-limit superparticular ratio. It arises as the difference between 17/16 and 33/32. In temperaments, it may be seen tempered together with 33/32 through 1089/1088, or with 35/34 through 1156/1155.

See also