1331/1323: Difference between revisions

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Tristanbay (talk | contribs)
added color names from xen-calc and uncapitalized comma name
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Tristanbay (talk | contribs)
de-capitalized temperament name
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'''1331/1323''', the '''aphrowe comma''', is an [[11-limit]], and 3.7.11 subgroup, comma that is the difference between a stack of two intervals of [[11/7]] and [[27/11]]. Tempering it out in the 3.7.11 subgroup provides [[Mintaka]] temperament, which is one of the simplest temperaments in this subgroup with decent accuracy, and creates a [[5L 2s (3/1-equivalent)|5L 2s]] macrodiatonic scale generated by 11/7 against the [[3/1|tritave]].
'''1331/1323''', the '''aphrowe comma''', is an [[11-limit]], and 3.7.11 subgroup, comma that is the difference between a stack of two intervals of [[11/7]] and [[27/11]]. Tempering it out in the 3.7.11 subgroup provides [[mintaka]] temperament, which is one of the simplest temperaments in this subgroup with decent accuracy, and creates a [[5L 2s (3/1-equivalent)|5L 2s]] macrodiatonic scale generated by 11/7 against the [[3/1|tritave]].

Revision as of 10:12, 10 October 2024

Interval information
Ratio 1331/1323
Factorization 3-3 × 7-2 × 113
Monzo [0 -3 0 -2 3
Size in cents 10.43701¢
Name aphrowe comma
Color name trilo-aruru negative 2nd, 1o3rr-2
trilo-aruru comma
FJS name [math]\displaystyle{ \text{M}{-2}^{11,11,11}_{7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 20.7479
Weil height (log2 max(n, d)) 20.7566
Wilson height (sopfr(nd)) 56
Comma size small
S-expression S222 × S23
Open this interval in xen-calc

1331/1323, the aphrowe comma, is an 11-limit, and 3.7.11 subgroup, comma that is the difference between a stack of two intervals of 11/7 and 27/11. Tempering it out in the 3.7.11 subgroup provides mintaka temperament, which is one of the simplest temperaments in this subgroup with decent accuracy, and creates a 5L 2s macrodiatonic scale generated by 11/7 against the tritave.