1955edo: Difference between revisions
Created page with "{{EDO intro|1955}} == Theory == {{Harmonics in equal|1955}}" |
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{{Infobox ET}} | |||
{{EDO intro|1955}} | {{EDO intro|1955}} | ||
== Theory == | == Theory == | ||
{{Harmonics in equal|1955}} | {{Harmonics in equal|1955}} | ||
1955edo represents well the 2.9.11.15.17.21 subgroup, with a comma basis {43923/43904, 163863/163840, 334125/334084, 1285956/1285625, 1434818/1434375}. | |||
In particular, 1955edo is an excellent 2.15.17.21 subgroup tuning with harmonics are represented to within 3% error, with the comma basis {2000033/2000000, 2.15.17.21 {{monzo|80 -8 -13 1}}, and 2.15.17.21 {{monzo|73 -15 4 -7}}}. | |||
The 1955 & 6003 temperament in the 2.15.17.21 subgroup has only 0.000396 cents per octave of TE error. It is period-23 and has a comma basis {2000033/2000000, 2.5.17.21 {{monzo|-101 -12 48 -11}}}. | |||
=== Miscellany === | |||
1955 factors as 5 x 17 x 23, and has divisors {{EDOs|1, 5, 17, 23, 85, 115, 391}}. | |||