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 = ptolemismic nicema
| 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
}}
}}
'''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.
'''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 '''ptolemismic nice''' temperament is defined.
By tempering it out, rank-4 '''ptolemi-nicemic''' temperament and in the 2.3.5.11 subgroup, rank-3 '''ptolemi-nice''' temperament is defined.