77/72: Difference between revisions

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'''77/72'''
{{Infobox Interval
|-3 -2 0 1 1>
| JI glyph =
| Ratio = 77/72
| Monzo = -3 -2 0 1 1
| Cents = 116.23385
| Name = undecimal secor
| Color name =
| FJS name =
| Sound = jid_77_72_pluck_adu_dr220.mp3
}}


116.2338 cents
'''77/72''', the undecimal secor, is between the 3\31 [[secor|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.


[[File:jid_77_72_pluck_adu_dr220.mp3]] [[:File:jid_77_72_pluck_adu_dr220.mp3|sound sample]]
[[Category:Interval]]
 
'''77/72''', the undecimal secor, is between the 3\31 [[secor|secor]] of [[31edo|31edo]] and the 10\103 secor of [[103edo|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.

Revision as of 17:48, 7 November 2020

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
FJS name [math]\displaystyle{ \text{m2}^{7,11} }[/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.

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