24167/24000: Difference between revisions

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m can't find a "lesser onyx comma"
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{{Infobox Interval
{{Infobox Interval
| Name = onyx comma
| Color name = 3o<sup>3</sup>1og<sup>3</sup>2, tritho-alotrigu 2nd
| Color name = 3o<sup>3</sup>1og<sup>3</sup>2, tritho-alotrigu 2nd
| Comma = yes
| Comma = yes
}}
}}


'''24167/24000''', the '''onyx comma''', is a small comma in the no-sevens [[13-limit]].  
'''24167/24000''' is a small comma in the no-sevens [[13-limit]]. It is the interval in which a stack of three [[13/10]] tridecimal semisixths exceed one [[12/11]] undecimal neutral second plus an [[octave]].
 
It appears as an interval in an [[onyxwood]] scale with step sizes L = 12/11, m = 550/507 and s = 24167/24000. Letting s vanish leads to a [[5L 3s]] oneirotonic scale with L = ~12/11 and LLs = ~13/10.

Revision as of 18:26, 29 April 2024

Interval information
Ratio 24167/24000
Factorization 2-6 × 3-1 × 5-3 × 11 × 133
Monzo [-6 -1 -3 0 1 3⟩
Size in cents 12.00479¢
Name(s) missing ? 
Color name 3o31og32, tritho-alotrigu 2nd
FJS name [math]\displaystyle{ \text{ddd2}^{11,13,13,13}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 29.1115
Weil norm (log2 max(n, d)) 29.1215
Wilson norm (sopfr(nd)) 80
Comma size small
Open this interval in xen-calc

24167/24000 is a small comma in the no-sevens 13-limit. It is the interval in which a stack of three 13/10 tridecimal semisixths exceed one 12/11 undecimal neutral second plus an octave.

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