182/121: Difference between revisions

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introduced infobox, added monzo, discovered a name duplicate see 176/117, both are tredecimal fifth ...
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| Monzo = 1 0 0 1 -2 1
| Monzo = 1 0 0 1 -2 1
| Cents = 706.71768
| Cents = 706.71768
| Name =  tredecimal gentle fifth
| Name =  tridecimal gentle fifth
| Color name =
| Color name =
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3

Revision as of 19:16, 16 September 2020

Interval information
Ratio 182/121
Factorization 2 × 7 × 11-2 × 13
Monzo [1 0 0 1 -2 1
Size in cents 706.7177¢
Name tridecimal gentle fifth
FJS name [math]\displaystyle{ \text{m6}^{7,13}_{11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 14.4267
Weil height (log2 max(n, d)) 15.0156
Wilson height (sopfr(nd)) 44
[[File:Ji-{{#regex:182/121|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|270px]]
[[:File:Ji-{{#regex:182/121|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3|[sound info]]]
Open this interval in xen-calc

182/121, 706.7177 cents, is the gentle fifth, found between 11/14 and 13/11 (13/11 * 14/11 = 182/121).

Rather well approximated by the regular fifths in 17edo.

Also incredibly close to another gentle fifth, 176/117, 706.8803 cents, found between 13/16 and 11/9 (11/9 * 16/13 = 176/117).