1803edo: Difference between revisions

-redundant categories. This is just irrelevant to arabic music. If anything the mosh scale might be relevant
Clarify the title row of the rank-2 temp table
Line 3: Line 3:


== Theory ==
== Theory ==
In the 2.19.23.29 subgroup, 1803edo tempers out 2476099/2475904, and supports the corresponding rank-3 temperament eliminating this comma. In the 13-limit, 1803edo tempers out 2080/2079 and 4225/4224. In the 7-limit, it tempers out 420175/419904.
=== Odd harmonics ===
{{Harmonics in equal|1803}}
{{Harmonics in equal|1803}}
In the 2.19.23.29 subgroup, 1803edo tempers out 2476099/2475904, and supports the corresponding rank-3 temperament eliminating this comma. In the 13-limit, 1803edo tempers out 2080/2079 and 4225/4224. In the 7-limit, it tempers out 420175/419904.


=== Relationship to the saros cycle ===
=== Relationship to the saros cycle ===
Line 34: Line 35:
=== Rank-2 temperaments by generator ===
=== Rank-2 temperaments by generator ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
! Periods<br>per Octave
! Periods<br>per 8ve
! Generator<br>(Reduced)
! Generator*
! Cents<br>(Reduced)
! Cents*
! Associated<br>Ratio
! Associated<br>Ratio
! Temperaments
! Temperaments
Line 46: Line 47:
| [[Hectosaros leap week]]
| [[Hectosaros leap week]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


== Scales ==
== Scales ==