7777/7776: Difference between revisions

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{{Infobox Interval

| Name = ~~power of 6 repdigit~~ comma

| Name = pulsar comma

| Comma = yes

| Color name = 101o1oz2, Fifiwolozo comma

}}

'''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.

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

The name origin is the following: power of six repdigit – ''psr'', which is the astronomical shortening for pulsars.

== 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.

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.

[[Category:Pulsar]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
+{{Novelty}}
 {{Infobox Interval
-| Name = power of 6 repdigit comma
+| Name = pulsar comma
+| Comma = yes
+| Color name = 101o1oz2, Fifiwolozo comma
 }}
-'''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.
+'''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 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 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: '''p'''ower of '''s'''ix '''r'''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 ==
-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.
+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.
+[[Category:Pulsar]]
+[[Category:Commas named for their regular temperament properties]]