42/25: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
See also: 12/7 linked
Expansion. Calling it like its octave complement and not "septimal major sixth" cuz that was confusing
Line 4: Line 4:
| Monzo = 1 1 -2 1
| Monzo = 1 1 -2 1
| Cents = 898.15348
| Cents = 898.15348
| Name = septimal major sixth
| Name = quasi-tempered major sixth
| Color name = zgg7, zogugu 7th
| Color name = zgg7, zogugu 7th
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
}}
}}
'''42/25''', the '''quasi-tempered major sixth''', is the octave complement of [[25/21]]. It is [[126/125]] sharp of [[5/3]], and is extremely close to 9 steps of [[12edo]] (900 cents).


== See also ==
== See also ==


* [[25/21]] -- its [[octave complement]]
* [[25/21]] -- its [[octave complement]]
* [[12/7]] - another septimal (super-)major sixth ([[50/49]] above)
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[25-odd-limit]]
* [[25-odd-limit]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Interval ratio]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Major sixth]]
[[Category:Major sixth]]
[[Category:Starling]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Todo:expand]]
[[Category:Todo:improve synopsis]]

Revision as of 05:27, 1 September 2020

Interval information
Ratio 42/25
Factorization 2 × 3 × 5-2 × 7
Monzo [1 1 -2 1
Size in cents 898.1535¢
Name quasi-tempered major sixth
Color name zgg7, zogugu 7th
FJS name [math]\displaystyle{ \text{d7}^{7}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.0362
Weil norm (log2 max(n, d)) 10.7846
Wilson norm (sopfr(nd)) 22
[[File:Ji-{{#regex:42/25|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|270px]]
[[:File:Ji-{{#regex:42/25|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|[sound info]]]
Open this interval in xen-calc

42/25, the quasi-tempered major sixth, is the octave complement of 25/21. It is 126/125 sharp of 5/3, and is extremely close to 9 steps of 12edo (900 cents).

See also