Ptolemi-nicema: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Eliora (talk | contribs)
No edit summary
Francium (talk | contribs)
m Added color name
Line 2: Line 2:
| Monzo = 137 -138 138 0 -69
| Monzo = 137 -138 138 0 -69
| Name = ptolemismic nicema
| Name = ptolemismic nicema
| Color name = s<sup>10</sup>1u<sup>69</sup>y<sup>138</sup>-8, </br>quinbisa-twethetriluyoyo negative octave
| Comma = yes
| Comma = yes
}}
}}

Revision as of 06:08, 8 September 2023

Interval information
Factorization 2137 × 3-138 × 5138 × 11-69
Monzo [137 -138 138 0 -69
Size in cents 0.5643708¢
Name ptolemismic nicema
Color name s101u69y138-8,
quinbisa-twethetriluyoyo negative octave
Special properties reduced
Tenney height (log2 nd) 914.852
Weil height (log2 max(n, d)) 914.852
Wilson height (sopfr(nd)) 2137
Comma size unnoticeable
Open this interval in xen-calc

Ptolemismic nicema is an unnoticeable 11-limit comma which marks the difference between 69 intervals of 100/99 and the octave. For EDOs N up to ~20000, it is tempered if and only if 69 divides N.

Tempering it out means that 11/10 and 10/9 are set exactly 1/69th of the octave apart.

Temperaments

By tempering it out, rank-4 ptolemismic nice temperament is defined.