Cassaschismic: Difference between revisions

Line 1:

~~{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate".}}~~

~~{{Todo|inline=1|review|comment= Replace idiosyncratic terms with conventional ones. }}~~

{{Infobox regtemp

| Title = Cassaschismic

Line 21:

Line 19:

See [[Garischismic family #Cassaschismic]] for technical data.

== Interval ~~chain~~ ==

== Interval lattice ==

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.

Line 135:

Line 133:

As an example, we can use up and down arrows with shafts (↑/↓) for the comma step, and arrows without shafts for the aberschisma step. In this scheme, 4:5:6:7:9:11:13 on C is notated as C–^↓E–G–↓B♭–D–↑↑F–v↑↑A♭.

[[Category:Cassaschismic| ]]

[[Category:Rank-3 temperaments]]

[[Category:Microtemperaments]]

[[Category:Garischismic family]]

[[Category:Olympic clan]]

@@ Line 1: / Line 1: @@
-{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate".}}
-{{Todo|inline=1|review|comment= Replace idiosyncratic terms with conventional ones. }}
 {{Infobox regtemp
 | Title = Cassaschismic
@@ Line 21: / Line 19: @@
 See [[Garischismic family #Cassaschismic]] for technical data.
-== Interval chain ==
+== Interval lattice ==
 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.
@@ Line 135: / Line 133: @@
 As an example, we can use up and down arrows with shafts (↑/↓) for the comma step, and arrows without shafts for the aberschisma step. In this scheme, 4:5:6:7:9:11:13 on C is notated as C–^↓E–G–↓B♭–D–↑↑F–v↑↑A♭.
+[[Category:Cassaschismic| ]] <!-- main article -->
 [[Category:Rank-3 temperaments]]
 [[Category:Microtemperaments]]
 [[Category:Garischismic family]]
 [[Category:Olympic clan]]