273/272: Difference between revisions

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Added information about this comma that surfaced on Discord
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'''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'''.
'''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, as 273/272 is actually of similar overall utility to the [[Marvel comma]].


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

Revision as of 00:49, 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, as 273/272 is actually of similar overall utility to the Marvel comma.