7777/7776: Difference between revisions

Eliora (talk | contribs)
Created page with "7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation. It is the difference between a stack of 5 hexataves and 7, 11, a..."
 
No more stellar remnants. Correct hyphenation & recategorize
 
(17 intermediate revisions by 6 users not shown)
Line 1: Line 1:
7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.  
{{Novelty}}
{{Infobox Interval
| Name = pulsar comma
| Comma = yes
| Color name = 101o1oz2, Fifiwolozo comma
}}
'''7777/7776''', the '''pulsar comma''' or '''power-of-six repdigit comma''' is an unnoticeable comma of 0.223 cents, and it is a part of 101-limit [[just intonation]].  


It is the difference between a stack of 5 [[6/1|hexataves]] and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, [[243/128]].  
The comma derives from the resemblance of a perfect power of 6, 7776, to a decimal repdigit number 7777. It is the difference between a stack of five [[6/1]]'s and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, [[243/128]]. It is also the difference between 404/243 and 128/77.
 
The name origin is the following: <u>p</u>ower-of-<u>s</u>ix <u>r</u>epdigit – ''psr'', which is the astronomical shortening for pulsars.  


== Temperaments ==
== Temperaments ==
[[135edo]] supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are 342, 207, 1012, 477, 1147, 971, 270, 836, 877.
Some of the edos which [[support]] pulsar temperaments in its 2.3.7.11.101-subgroup [[patent val]]s are {{EDOs| 135, 207, 342, 477, 836, 877, 971, 1012, and 1147}}.  
 
[[Category:Pulsar]]
[[Category:Commas named for other reasons]]