Ptolemi-nicema: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Monzo = 137 -138 138 0 -69 | | Monzo = 137 -138 138 0 -69 | ||
| Name = | | Name = ptolemi-nicema | ||
| Color name = s<sup>10</sup>1u<sup>69</sup>y<sup>138</sup>-8, </br>quinbisa-twethetriluyoyo negative octave | | Color name = s<sup>10</sup>1u<sup>69</sup>y<sup>138</sup>-8, </br>quinbisa-twethetriluyoyo negative octave | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
''' | '''Ptolemi-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. | Tempering it out means that [[11/10]] and [[10/9]] are set exactly 1/69th of the octave apart. | ||
== Temperaments == | == Temperaments == | ||
By tempering it out, rank-4 ''' | By tempering it out, rank-4 '''ptolemi-nicemic''' temperament and in the 2.3.5.11 subgroup, rank-3 '''ptolemi-nice''' temperament is defined. See [[69th-octave temperaments]]. | ||
[[Category:Commas named after polymaths]] | |||
Latest revision as of 02:39, 4 November 2024
| Interval information |
quinbisa-twethetriluyoyo negative octave
Ptolemi-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 ptolemi-nicemic temperament and in the 2.3.5.11 subgroup, rank-3 ptolemi-nice temperament is defined. See 69th-octave temperaments.