Nonary comma: Difference between revisions

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The '''nonary comma''' is a [[medium comma|medium]] [[7-limit]] comma which is the difference between [[27/25]] raised by eight [[2/1|octaves]] and ten [[7/4]]s, as 2<sup>8</sup>(27/25)/(7/4)<sup>10</sup> = 7247757312/7061881225. Tempering it out leads to the [[nonary family]] of temperaments.
The '''nonary comma''' is a [[medium comma|medium]]-sized [[7-limit]] comma which is the difference between [[27/25]] raised by eight [[2/1|octaves]] and ten [[7/4]]s, as 2<sup>8</sup>(27/25)/(7/4)<sup>10</sup> = 7247757312/7061881225. Tempering it out leads to the [[nonary family]] of temperaments.


[[User:Fitzgerald Lee|Fitzgerald Lee]] named this comma “nonary” as the temperament is generated by a [[9/8]].
[[User:Fitzgerald Lee|Fitzgerald Lee]] named this comma “nonary” as the temperament is generated by a [[9/8]].

Revision as of 08:12, 3 November 2024

Interval information
Ratio 7247757312/7061881225
Factorization 228 × 33 × 5-2 × 7-10
Monzo [28 3 -2 -10
Size in cents 44.97851¢
Name nonary comma
FJS name [math]\displaystyle{ \text{dd}{-4}_{5,5,7,7,7,7,7,7,7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 65.4723
Weil norm (log2 max(n, d)) 65.5098
Wilson norm (sopfr(nd)) 145
Comma size medium
Open this interval in xen-calc

The nonary comma is a medium-sized 7-limit comma which is the difference between 27/25 raised by eight octaves and ten 7/4s, as 28(27/25)/(7/4)10 = 7247757312/7061881225. Tempering it out leads to the nonary family of temperaments.

Fitzgerald Lee named this comma “nonary” as the temperament is generated by a 9/8.