Cassaschismic: Difference between revisions
Fix (minor minthma -> major minthma) & sort rank-2 temps by ploidacot |
Added visualization, too bad I can't upload blender file |
||
| Line 34: | Line 34: | ||
Here is a quick compressed cheat sheet of octave-reduced intervals. This is a simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here, ratios here represent pitch-classes and their pitch class inverses; so for instance 8/5 pitch class is mapped to 8 fifths - 1 aberschisma step, being the octave inverse of 5/4 pitch class negates the mappings so it is found at -8 fifths + 1 aberschisma step. There are no octave reduced primes or prime inverses with positive fifth step and aberschisma step. | Here is a quick compressed cheat sheet of octave-reduced intervals. This is a simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here, ratios here represent pitch-classes and their pitch class inverses; so for instance 8/5 pitch class is mapped to 8 fifths - 1 aberschisma step, being the octave inverse of 5/4 pitch class negates the mappings so it is found at -8 fifths + 1 aberschisma step. There are no octave reduced primes or prime inverses with positive fifth step and aberschisma step. | ||
An image is provided instead showing copies of a [[Standard Lumatone mapping for Pythagorean]]-like arrangement of the chain of fifths, copied thrice to access most of the no-17 27-odd-limit and then some. | |||
[[File:UltimateMapGraphOrtho.png|thumb|750x750px|A visualization of Ultimate (cassaschismic temperament), with 3 copies of a chain of fifths laid out in a Lumatone-like fashion.]] | |||
{| class="wikitable center-1 right-2 right-4" | {| class="wikitable center-1 right-2 right-4" | ||
! rowspan="2" | # | ! rowspan="2" | # | ||