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Created page with "'''Spoob''', 27682574402/27680640625, is a comma which equates a stack of 6 55/49<nowiki/>s with the octave. It was named after an emoji on Xenharmonic Discord. == Theory..."
 
m Text replacement - "octave" to "octave"
 
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'''Spoob''', 27682574402/27680640625, is a comma which equates a stack of 6 [[55/49]]<nowiki/>s with the octave. It was named after an emoji on Xenharmonic Discord.
{{Infobox Interval
| Ratio = 27682574402/27680640625
| Name = spoob
| Color name = 1u<sup>6</sup>z<sup>12</sup>g<sup>6</sup>8, tribiluzozogu octave
| Comma = yes
}}
The '''spoob''' ({{monzo|legend=1| 1 0 -6 12 -6 }}, [[ratio]]: 27 682 574 402 / 27 680 640 625), is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 0.121 [[cent]]s. It separates a stack of six [[55/49]]'s from the [[octave]]. It was named after an emoji on Xenharmonic Discord.


== Theory ==
== Temperaments ==
By tempering it out, rank-4 '''spoob temperament''' is defined.
[[Tempering out]] this comma in the 11-limit defines the rank-4 '''spoob''' temperament, or in the 2.5.7.11 subgroup an unnamed rank-3 [[retraction]] thereof.
 
=== Spoob ===
[[Subgroup]]: 2.3.5.7.11
 
[[Comma list]]: 27682574402/27680640625
 
{{mapping|legend=1| 6 0 0 0 1 | 0 1 0 0 0 | 0 0 1 0 -1 | 0 0 0 1 2 }}
: mapping generators: ~55/49, ~3, ~5, ~7
 
{{Optimal ET sequence|legend=1| 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 6390, 6660, 7002, 7626, 7896, 8238, 8850, 9744, 9816, 10086, 10428, 11664, 11934, 12276, 36216, 48492, 60768, 84978, 97254, 98832d }}
 
[[Badness]] (Sintel): 3.91
 
=== Spoob retraction ===
[[Subgroup]]: 2.5.7.11
 
[[Comma list]]: 27682574402/27680640625
 
{{Mapping|legend=2| 6 0 0 1 | 0 1 0 -1 | 0 0 1 2 }}
: mapping generators: ~55/49, ~5, ~7
 
{{Optimal ET sequence|legend=1| 72, 150, 186, 192, 198, 264, 270, 342, 348, 612, 618, 960, 1578, 7542, 8160, 9120, 10698, 12276, 13854, 23592, 25170, 26748, 28326, 40602, 42180, 67350, 68928 }}
 
[[Badness]] (Sintel): 0.165
 
[[Category:Commas named for other reasons]]
[[Category:Commas with intentionally absurd names]]
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