936/935: Difference between revisions

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'''936/935''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents.  It forms the interval between the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]], the interval between the [[273/272|tannisma (273/272)]] and the [[385/384|keenanisma (385/384)]], and, the interval between the [[256/255|septendecimal kleisma (256/255)]] and the [[352/351|minthma (352/351)]].  Thus, tempering out this comma is a good way to extend Keenanismic, Neo-Gothic and Minthmic harmonies to the 17-limit.  Furthermore, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]].
'''936/935''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma with a size of roughly 1.85 cents.  It forms the interval between the interval between [[18/17]] and [[55/52]] as well as the interval between [[13/11]] and [[85/72]], the interval between the [[273/272|tannisma (273/272)]] and the [[385/384|keenanisma (385/384)]], and, the interval between the [[256/255|septendecimal kleisma (256/255)]] and the [[352/351|minthma (352/351)]].  Thus, tempering out this comma is a good way to extend Neo-Gothic and Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together.  Furthermore, it is also the interval that differentiates [[17/13]] from [[72/55]], [[24/17]] from [[55/39]], and [[117/64]] from [[935/512]].


[[Category:17-limit]]
[[Category:17-limit]]

Revision as of 01:12, 29 December 2020

Interval information
Ratio 936/935
Factorization 23 × 32 × 5-1 × 11-1 × 13 × 17-1
Monzo [3 2 -1 0 -1 1 -1
Size in cents 1.850598¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{P1}^{13}_{5,11,17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 19.7392
Weil height (log2 max(n, d)) 19.7407
Wilson height (sopfr(nd)) 58
Open this interval in xen-calc

936/935 is an unnoticeable 17-limit comma with a size of roughly 1.85 cents. It forms the interval between the interval between 18/17 and 55/52 as well as the interval between 13/11 and 85/72, the interval between the tannisma (273/272) and the keenanisma (385/384), and, the interval between the septendecimal kleisma (256/255) and the minthma (352/351). Thus, tempering out this comma is a good way to extend Neo-Gothic and Minthmic harmonies to the 17-limit, as well as a good way to bring Keenanismic and Tannismic harmonies together. Furthermore, it is also the interval that differentiates 17/13 from 72/55, 24/17 from 55/39, and 117/64 from 935/512.