7777/7776: Difference between revisions

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{{Infobox Interval
| Ratio = 7777/7776
| Monzo = -5 -5 0 1 1 0<sup>20</sup> 1
| Cents = 0.223
| Name = power of 6 repdigit comma
}}
7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.  
7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.  


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== Temperaments ==
== Temperaments ==
[[135edo]] supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}.
[[135edo]] supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo.

Revision as of 11:55, 19 January 2022

Interval information
Ratio 7777/7776
Subgroup monzo 2.3.7.11.101 [-5 -5 1 1 1
Size in cents 0.2226238¢
Name power of 6 repdigit comma
FJS name [math]\displaystyle{ \text{d2}^{7,11,101} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 25.8498
Weil height (log2 max(n, d)) 25.85
Wilson height (sopfr(nd)) 144
Open this interval in xen-calc

7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.

It is the difference between a stack of 5 hexataves and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, 243/128.

Temperaments

135edo supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are 342, 207, 1012, 477, 1147, 971, 270, 836, 877. Note that 270edo is a multiple of 135edo.