Stearnsma: Difference between revisions

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The stearnsma is a no-fives [[7-limit]] [[Small comma|small]] [[comma]] with a width of about 6.6[[cents|¢]], which is similar in size to the [[1029/1024|gamelisma]], another comma in the same [[Just intonation subgroup|subgroup]]. The collection of rank-2 temperaments that temper this comma out is called the [[stearnsmic clan]], which splits the [[octave]] into 2 equal parts.
The '''stearnsma''' ({{monzo|legend=1| 1 10 0 -6 }}, [[ratio]]: 118098/117649) is a [[small comma|small]] no-fives [[7-limit]] [[comma]] with a width of about 6.6 [[cent]]s, which is similar in size to the [[1029/1024|gamelisma]], another comma in the same [[subgroup]].  


[[Category:Commas with unknown etymology]]
== Temperaments ==
[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[stearnsmic]] temperament, which splits the [[octave]] into 2 equal parts.
 
See [[Stearnsmic clan]] for the [[clan]] of rank-2 temperaments that temper this comma out.
 
== Etymology ==
The stearnsma is likely named after [[Daniel Anthony Stearns]].
 
[[Category:Stearnsmic]]
[[Category:Commas named after composers]]

Revision as of 10:43, 13 April 2026

Interval information
Ratio 118098/117649
Factorization 2 × 310 × 7-6
Monzo [1 10 0 -6
Size in cents 6.59457¢
Name stearnsma
Color name latribiru negative 4th, Lr6-4,
latribiru comma
FJS name [math]\displaystyle{ \text{ddd}{-4}_{7,7,7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 33.6938
Weil norm (log2 max(n, d)) 33.6993
Wilson norm (sopfr(nd)) 74
Comma size small
Open this interval in xen-calc

The stearnsma (monzo[1 10 0 -6, ratio: 118098/117649) is a small no-fives 7-limit comma with a width of about 6.6 cents, which is similar in size to the gamelisma, another comma in the same subgroup.

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 stearnsmic temperament, which splits the octave into 2 equal parts.

See Stearnsmic clan for the clan of rank-2 temperaments that temper this comma out.

Etymology

The stearnsma is likely named after Daniel Anthony Stearns.