Undecimal octatonic comma: Difference between revisions

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m ArrowHead294 moved page Octatonic comma to Undecimal octatonic comma: Multiple octatonic commas are out there, (35/32)^8/2 is another possibility
ArrowHead294 (talk | contribs)
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Line 2: Line 2:
|Ratio = 214990848/214358881
|Ratio = 214990848/214358881
|Monzo = 15 8 0 0 -8
|Monzo = 15 8 0 0 -8
|Name = octatonic comma
|Name = undecimal octatonic comma
|Color name = 1u<sup>8</sup>2, quadbilu 2nd
|Color name = 1u<sup>8</sup>2, quadbilu 2nd
|Comma = yes
|Comma = yes

Revision as of 23:49, 11 May 2024

Interval information
Ratio 214990848/214358881
Factorization 215 × 38 × 11-8
Monzo [15 8 0 0 -8⟩
Size in cents 5.096468¢
Name undecimal octatonic comma
Color name 1u82, quadbilu 2nd
FJS name [math]\displaystyle{ \text{AA2}_{11,11,11,11,11,11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 55.3552
Weil norm (log2 max(n, d)) 55.3594
Wilson norm (sopfr(nd)) 142
Comma size small
Open this interval in xen-calc

The Octatonic comma, 214990848/214358881, is the difference between 8 12/11s and the octave. Since equates eight of one interval with an octave, it is tempered out if and only if the number of notes in the octave is a multiple of 8.

Temperaments

Tempering it out results in the octatonic temperament. For technical data see 8th-octave temperaments#Octatonic.

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