Stearnsma: Difference between revisions

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The '''stearnsma''' ({{monzo|legend=1| 1 10 0 -6 }}, [[ratio]]: 118098/117649) is a [[small comma|small]] [[2.3.7 subgroup|2.3.7-subgroup]] [[comma]] with a width of about 6.6 [[cent]]s. It is the amount by which an [[octave reduction|octave-reduced]] stack of six [[9/7]]'s exceeds [[9/8]]. It is also the amount by which [[343/243]], equal to a stack consisting of a [[7/6]] and two [[14/9]]'s, falls short of its [[octave complement]].

~~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~~ [[~~stearsmic clan~~]]~~, which splits the~~ [[~~octave~~]] ~~into 2 equal parts.~~

It is similar in size to the [[1029/1024|gamelisma]], another comma in the same subgroup. Their difference is the [[septimal ennealimma]].

== 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]]

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+The '''stearnsma''' ({{monzo|legend=1| 1 10 0 -6 }}, [[ratio]]: 118098/117649) is a [[small comma|small]] [[2.3.7 subgroup|2.3.7-subgroup]] [[comma]] with a width of about 6.6 [[cent]]s. It is the amount by which an [[octave reduction|octave-reduced]] stack of six [[9/7]]'s exceeds [[9/8]]. It is also the amount by which [[343/243]], equal to a stack consisting of a [[7/6]] and two [[14/9]]'s, falls short of its [[octave complement]].
-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 [[stearsmic clan]], which splits the [[octave]] into 2 equal parts.
+It is similar in size to the [[1029/1024|gamelisma]], another comma in the same subgroup. Their difference is the [[septimal ennealimma]].
+== 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]]