32/21: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Fredg999 category edits (talk | contribs)
autopatrolled, Bots, emailconfirmed
4,405 edits
Plumtree (talk | contribs)
autopatrolled, emailconfirmed
1,976 edits
m Normalising usage of Infobox Interval
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 32/21
| Name = septimal superfifth, wide fifth, octave-reduced 21st subharmonic
| Monzo = 5 -1 0 -1
| Cents = 729.21909
| Name = septimal superfifth, <br>wide fifth, <br>octave-reduced 21st subharmonic
| Color name = r5, ru 5th
| Color name = r5, ru 5th
| Sound = jid_32_21_pluck_adu_dr220.mp3
| Sound = jid_32_21_pluck_adu_dr220.mp3
Line 16: Line 13:
* [[21/16]] its [[inverse interval]]
* [[21/16]] its [[inverse interval]]


[[Category:7-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Superfifth]]
[[Category:Superfifth]]
[[Category:Octave-reduced subharmonics]]

Revision as of 15:00, 25 October 2022

Interval information
Ratio 32/21
Factorization 25 × 3-1 × 7-1
Monzo [5 -1 0 -1⟩
Size in cents 729.2191¢
Names septimal superfifth,
wide fifth,
octave-reduced 21st subharmonic
Color name r5, ru 5th
FJS name [math]\displaystyle{ \text{P5}_{7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 9.39232
Weil norm (log2 max(n, d)) 10
Wilson norm (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

32/21, the septimal superfifth, is the interval between 9/8 and 12/7. It is 64/63 sharp of 3/2, and so is equated to 3/2 in temperaments such as pajara, superpyth or augene which tempers out 64/63.

In septimal meantone, this interval is represented by the diminished sixth.

See also

Retrieved from "https://en.xen.wiki/index.php?title=32/21&oldid=98188"