7777/7776: Difference between revisions

m +novelty mark
No more stellar remnants. Correct hyphenation & recategorize
 
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| Color name = 101o1oz2, Fifiwolozo comma
| Color name = 101o1oz2, Fifiwolozo comma
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'''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]].  
'''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]].  


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 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.  
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 ==
Tempering it out leads to the [[stellar remnants]] collection of temperaments, the core of which is the 2.3.7.11.101 subgroup. Some of the edos which support pulsar temperaments are [[135edo|135]], {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo.
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:Pulsar]]
[[Category:Commas named for other reasons]]