28672/28561: Difference between revisions

Interval information
Ratio	28672/28561
Factorization	212 × 7 × 13-4
Monzo	[12 0 0 1 0 -4⟩
Size in cents	6.715259¢
Name	voltage comma
Color name	3u4z1, quadthu-azo unison
FJS name	[math]\displaystyle{ \text{AA1}^{7}_{13,13,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	29.6091
Weil norm (log2 max(n, d))	29.6147
Wilson norm (sopfr(nd))	83
Comma size	small
	Open this interval in xen-calc

Latest revision as of 04:59, 20 December 2024

28672/28561 (the voltage comma) is a small comma in the 2.7.13 subgroup. It is the difference between the threedie and the secorian comma, or between 169/168 and 512/507 (= 16/13 ÷ 39/32). Tempering it out leads to voltage temperament (supported by 10, 27, 37, 84, 94, and 104edo) and its extensions, such as beatles.

Revision as of 04:25, 2 November 2024 view source Recentlymaterialized (talk \| contribs) 240 edits Created page with "{{Infobox Interval \| Ratio = 28672/28561 \| Name = voltage comma \| Color name = 3u<sup>4</sup>z1, quadthu-azo unison \| Comma = yes }} '''28672/28561''' (the '''voltage comma''..."		Latest revision as of 04:59, 20 December 2024 view source Lériendil (talk \| contribs) 8,046 edits m chromatic pairs link
Line 6:		Line 6:
	}}		}}

	'''28672/28561''' (the '''voltage comma''') is a small comma in the 2.7.13 subgroup. It is the difference between the [[threedie]] and the [[secorian comma]], or between [[169/168]] and [[512/507]] (= [[16/13]] ÷ [[39/32]]). Tempering it out leads to [[~~Chromatic pairs~~#Voltage\|voltage temperament]] (supported by [[10edo\|10]], [[27edo\|27]], [[37edo\|37]], [[84edo\|84]], [[94edo\|94]], and [[104edo]]) and its extensions, such as [[~~Archytas_clan~~#Beatles\|beatles]].		'''28672/28561''' (the '''voltage comma''') is a small comma in the 2.7.13 subgroup. It is the difference between the [[threedie]] and the [[secorian comma]], or between [[169/168]] and [[512/507]] (= [[16/13]] ÷ [[39/32]]). Tempering it out leads to [[No-threes subgroup temperaments#Voltage\|voltage temperament]] (supported by [[10edo\|10]], [[27edo\|27]], [[37edo\|37]], [[84edo\|84]], [[94edo\|94]], and [[104edo]]) and its extensions, such as [[Archytas clan#Beatles\|beatles]].