51/40: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 51/40
| Ratio = 51/40
| Monzo = -8 1 -1 0 0 0 1  
| Monzo = -8 1 -1 0 0 0 1  
| Cents = 420.59670
| Cents = 420.59670
| Name = lesser septendecimal supermajor third (?)
| Name = lesser septendecimal supermajor third (?)
| Color name =
| Color name = 17og4, sogu 4th
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
}}
}}


Approximated by
In [[17-limit]] [[just intonation]], '''51/40''' is the '''lesser septendecimal supermajor third'''.


It is approximated by:
* [[20edo|7\20]] (420 cents)
* [[20edo|7\20]] (420 cents)
* [[3edo|1\3]] ([[12edo|4\12]]) (400 cents)
* [[3edo|1\3]] ([[12edo|4\12]]) (400 cents)
Line 17: Line 17:
== See also ==
== See also ==


* [[22/17]] – Septendecimal supermajor third
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Third]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Septendecimal]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]
[[Category:Listen]]
[[Category:Pages with internal sound examples]]
[[Category:Interval]]


[[Category:Todo:expand]]
{{todo|expand}}
[[Category:Todo:improve synopsis]]

Revision as of 04:03, 20 December 2021

Interval information
Ratio 51/40
Factorization 2-3 × 3 × 5-1 × 17
Monzo [-3 1 -1 0 0 0 1
Size in cents 420.5967¢
Name lesser septendecimal supermajor third (?)
Color name 17og4, sogu 4th
FJS name [math]\displaystyle{ \text{d4}^{17}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.9944
Weil norm (log2 max(n, d)) 11.3449
Wilson norm (sopfr(nd)) 31
[[File:Ji-{{#regex:51/40|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|270px]]
[[:File:Ji-{{#regex:51/40|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|[sound info]]]
Open this interval in xen-calc

In 17-limit just intonation, 51/40 is the lesser septendecimal supermajor third.

It is approximated by:

See also