77/72: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 77/72
| Ratio = 77/72
| Monzo = -3 -2 0 1 1
| Monzo = -3 -2 0 1 1
| Cents = 116.23385
| Cents = 116.23385
| Name = undecimal secor
| Name = undecimal secor
| Color name =  
| Color name = 1oz2, lozo 2nd
| FJS name = m2<sup>77</sup>
| FJS name = m2<sup>77</sup>
| Sound = jid_77_72_pluck_adu_dr220.mp3
| Sound = jid_77_72_pluck_adu_dr220.mp3
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[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Interval]]
[[Category:Secor]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Secor]]

Revision as of 06:36, 6 January 2022

Interval information
Ratio 77/72
Factorization 2-3 × 3-2 × 7 × 11
Monzo [-3 -2 0 1 1
Size in cents 116.2338¢
Name undecimal secor
Color name 1oz2, lozo 2nd
FJS name [math]\displaystyle{ \text{m2}^{77} }[/math]
Special properties reduced
Tenney height (log2 nd) 12.4367
Weil height (log2 max(n, d)) 12.5336
Wilson height (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

77/72, the undecimal secor, is between the 3\31 secor of 31edo and the 10\103 secor of 103edo. It is 385/384 (4.5 cents) sharper than 16/15 and 540/539 (3.2 cents) flatter than 15/14. In 11-limit JI scales it often appears, being the interval between 12/11 and 7/6, 8/7 and 11/9, 9/7 and 11/8, and their inversions. Tempering out 385/384 equates it with 16/15, tempering out 540/539 equates it with 15/14, and tempering out both makes it the marvel secor.