Nether comma: Difference between revisions

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'''14348907/13107200''', the '''nether comma''', is equal to an [[apotome]] plus two [[81/80|syntonic commas]], putting it on the [[Syntonic–chromatic equivalence continuum]]. It is tempered out in the patent vals for edos 7 & 52, creating '''nethertone''', a temperament which has a generator of a flat neutral third, two of which reach a similarly flat [[3/2]] and 15 octave reduced approximate [[5/4]].
'''14348907/13107200''', the '''nether comma''', is equal to an [[apotome]] plus two [[81/80|syntonic commas]], putting it on the [[Syntonic–chromatic equivalence continuum]]. It is tempered out in the patent vals for edos 7 & 52, creating '''nethertone''', a temperament which has a generator of a flat neutral third, two of which reach a similarly flat [[3/2]] and 15 octave reduced approximate [[5/4]].


{{todo|expand}}
[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]

Revision as of 08:03, 3 January 2025

Interval information
Ratio 14348907/13107200
Factorization 2-19 × 315 × 5-2
Monzo [-19 15 -2
Size in cents 156.6976¢
Name nether comma
Color name LLgg1, lala-gugu unison
FJS name [math]\displaystyle{ \text{A1}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 47.4183
Weil norm (log2 max(n, d)) 47.5489
Wilson norm (sopfr(nd)) 93
Comma size large
Open this interval in xen-calc

14348907/13107200, the nether comma, is equal to an apotome plus two syntonic commas, putting it on the Syntonic–chromatic equivalence continuum. It is tempered out in the patent vals for edos 7 & 52, creating nethertone, a temperament which has a generator of a flat neutral third, two of which reach a similarly flat 3/2 and 15 octave reduced approximate 5/4.