Dimcomp comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | JI glyph = | Ratio = 390625/388962 | Monzo = -1 -4 8 -4 | Cents = 7.3861 | Name = dimcomp comma | Color name = | FJS name = | Sound = }} The '''dimco..."
 
Xenllium (talk | contribs)
mNo edit summary
Line 5: Line 5:
| Cents = 7.3861
| Cents = 7.3861
| Name = dimcomp comma
| Name = dimcomp comma
| Color name =  
| Color name = quadruyoyo comma
| FJS name =  
| FJS name =  
| Sound =  
| Sound =  
Line 12: Line 12:
The '''dimcomp comma''' is a [[7-limit]] [[small comma]] measuring about 7.4 cents.  
The '''dimcomp comma''' is a [[7-limit]] [[small comma]] measuring about 7.4 cents.  


It is the amount by which four quasi-tempered minor thirds ([[25/21]]) exceed an octave. Hence, tempering it out splits the octave into four equal parts, and edos that are not multiples of 4 cannot be tempering it out.  
It is the amount by which four quasi-tempered minor thirds ([[25/21]]) exceed an octave. Hence, tempering it out splits the octave into four equal parts, and EDOs that are not multiples of 4 cannot be tempering it out.  


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

Revision as of 06:16, 16 October 2021

Interval information
Ratio 390625/388962
Factorization 2-1 × 3-4 × 58 × 7-4
Monzo [-1 -4 8 -4
Size in cents 7.386082¢
Name dimcomp comma
Color name quadruyoyo comma
FJS name [math]\displaystyle{ \text{5d}{-4}^{5,5,5,5,5,5,5,5}_{7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 37.1447
Weil norm (log2 max(n, d)) 37.1508
Wilson norm (sopfr(nd)) 82
Open this interval in xen-calc

The dimcomp comma is a 7-limit small comma measuring about 7.4 cents.

It is the amount by which four quasi-tempered minor thirds (25/21) exceed an octave. Hence, tempering it out splits the octave into four equal parts, and EDOs that are not multiples of 4 cannot be tempering it out.

See also