7777/7776: Difference between revisions

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| Name = power of 6 repdigit comma

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'''7777/7776''', the '''power of 6 repdigit comma''' is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.

'''7777/7776''', the '''power of 6 repdigit comma''' or '''pulsar comma''' is an unnoticeable comma of 223 millicents, 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 repdigit number 7777. 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]]. It is also the difference between 404/243 and 128/77.

The name origin is the following: '''p'''ower of '''s'''ix '''r'''epdigit - '''psr''', which is the astronomical shortening for pulsars.

== Temperaments ==

~~[[135edo]] [[support]]s a large amount~~ of temperaments ~~when it comes to this comma~~. ~~Other~~ EDOs which ~~temper it out~~ are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo.

Tempering it out leads to the pulsar clan 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.

=== 135 & 836 ===

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 | Name = power of 6 repdigit comma
 }}
-'''7777/7776''', the '''power of 6 repdigit comma''' is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation.
+'''7777/7776''', the '''power of 6 repdigit comma''' or '''pulsar comma''' is an unnoticeable comma of 223 millicents, 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 repdigit number 7777. 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]]. It is also the difference between 404/243 and 128/77.
+The name origin is the following: '''p'''ower of '''s'''ix '''r'''epdigit - '''psr''', which is the astronomical shortening for pulsars.
 == Temperaments ==
-[[135edo]] [[support]]s a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo.
+Tempering it out leads to the pulsar clan 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.
 === 135 & 836 ===