1331/1323: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Color name = TBD | Comma = yes }} '''1331/1323''' is an 11-limit, and 3.7.11 subgroup, comma that is the difference between a stack of two intervals o..."
 
BudjarnLambeth (talk | contribs)
m Named
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = Mintaka comma
| Color name = TBD
| Color name = TBD
| Comma = yes
| Comma = yes
}}
}}
'''1331/1323''' 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''' 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 06:33, 22 September 2024

Interval information
Ratio 1331/1323
Factorization 3-3 × 7-2 × 113
Monzo [0 -3 0 -2 3
Size in cents 10.43701¢
Name Mintaka comma
Color name TBD
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 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.