91edo: Difference between revisions

Eliora (talk | contribs)
Scales: name it subset because the concoctic scale is only the 27 tone scale
Eliora (talk | contribs)
these aren't objective facts so moving them to miscellaneous properties
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{{Infobox ET}}
{{Infobox ET}}
The '''91 equal divisions of the octave''' ('''91edo'''), or '''91-tone equal temperament''' ('''91tet''', '''91et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 91 parts of 13.187 [[cent]]s each.  
The '''91 equal divisions of the octave''' ('''91edo'''), or '''91-tone equal temperament''' ('''91tet''', '''91et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 91 parts of 13.187 [[cent]]s each.  
91 is the smallest composite number whose composite character is not immediately evident in the decimal system; it is, in fact, the product of 7 and 13. From an aesthetic standpoint, the factoring of 91 represents a kind of "yin-yang" since historically, the number 7 symbolizes luck and 13 misfortune.


== Theory ==
== Theory ==
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=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|91}}
{{Harmonics in equal|91}}
=== Miscellaneous properties ===
91 is the smallest composite number whose composite character is not immediately evident in the decimal system; it is, in fact, the product of 7 and 13.
Since the number 7 has historically represented luck, and the number 13 has always stood for bad luck, from an aesthetic standpoint, the factoring of 91 represents a kind of "yin-yang", a combination of opposites.


== Regular temperament properties ==
== Regular temperament properties ==