273/272: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 10: Line 10:
}}
}}


'''273/272''', the '''tannisma''', is a [[small comma|small]] [[17-limit]] comma with a value of roughly 6.35 [[cent]]s.  It forms the difference between [[21/17]] and [[16/13]], and the difference between [[39/32]] and [[17/14]], as well as the difference between [[17/13]] and [[21/16]].  Equating these three sets of intervals is characteristic of '''tannismic temperaments''', however, that's not all, as according to Scott Dakota, such temperaments are actually of similar overall utility to those that temper out the [[Marvel comma]].
'''273/272''', the '''tannisma''', is a [[small comma|small]] [[17-limit]] comma with a value of roughly 6.35 [[cent]]s.  It forms the difference between [[21/17]] and [[16/13]], and the difference between [[39/32]] and [[17/14]], as well as the difference between [[17/13]] and [[21/16]].  Equating these three sets of intervals is characteristic of '''tannismic temperaments''', however, that's not all, as according to Scott Dakota, such temperaments are actually of similar overall utility to those that temper out the [[marvel comma]].


[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Superparticular]]
[[Category:Superparticular]]

Revision as of 00:57, 24 August 2021

Interval information
Ratio 273/272
Factorization 2-4 × 3 × 7 × 13 × 17-1
Monzo [-4 1 0 1 0 1 -1
Size in cents 6.35316¢
Name tannisma
Color name Suthozo
FJS name [math]\displaystyle{ \text{P1}^{7,13}_{17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 16.1802
Weil height (log2 max(n, d)) 16.1855
Wilson height (sopfr(nd)) 48
Open this interval in xen-calc

273/272, the tannisma, is a small 17-limit comma with a value of roughly 6.35 cents. It forms the difference between 21/17 and 16/13, and the difference between 39/32 and 17/14, as well as the difference between 17/13 and 21/16. Equating these three sets of intervals is characteristic of tannismic temperaments, however, that's not all, as according to Scott Dakota, such temperaments are actually of similar overall utility to those that temper out the marvel comma.