Quartismic family: Difference between revisions

Line 18:

The following scale tree has been found:

* [http://www.microtonalsoftware.com/scale-tree.html?left=12&right=11&rr=1200&ioi=106.71461627796054 1200-106.71461627796054-12-11 Scale Tree]

The following quartismic MOS scales have been found:

The following rank-2 quartismic temperament MOS scales have been found:

* [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(53.37418112074753%2C%202%2F1)%2C%2013%7C9&data=53.374181%0A106.748362%0A160.122543%0A213.496724%0A266.870906%0A320.245087%0A373.619268%0A426.993449%0A480.367630%0A533.741811%0A587.115992%0A640.490173%0A693.864355%0A719.632370%0A773.006551%0A826.380732%0A879.754913%0A933.129094%0A986.503276%0A1039.877457%0A1093.251638%0A1146.625819%0A1200.000000&freq=440&midi=69&vert=5&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (53.37418112074753, 2/1), 13|9]

* [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(106.71461627796054%2C%201200.0)%2C%205%7C5&data=106.714616%0A213.429233%0A320.143849%0A426.858465%0A533.573081%0A666.426919%0A773.141535%0A879.856151%0A986.570767%0A1093.285384%0A1200.000000&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (106.71461627796054, 1200.0), 5|5]

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Commas: 32805/32768, 117440512/117406179

POTE ~~generator~~:

POTE generators: 701.7299, 53.3889

Mapping ~~generator~~:

Mapping generators: 2/1, 3/2, 33/32

Map:

Map: [<1 0 15 1 5|, <0 1 -8 1 -1|, <0 0 0 5 1|]

EDOs: {{EDOs|24, 135, 159, 224, 472}}

Badness:

== 13-limit ==

Commas: 10985/10976, 32805/32768, 117440512/117406179

POTE ~~generator~~:

POTE generators: 166.0628, 53.4151

Mapping ~~generator~~:

Mapping generators: 2/1, 11/10, 33/32

Map:

Map: [<1 2 -1 3 3 5|, <0 -3 24 -3 3 -11|, <0 0 0 5 1 5|]

EDOs:

EDOs: {{EDOs}}

Badness:

@@ Line 18: / Line 18: @@
 The following scale tree has been found:
 * [http://www.microtonalsoftware.com/scale-tree.html?left=12&right=11&rr=1200&ioi=106.71461627796054 1200-106.71461627796054-12-11 Scale Tree]
-The following quartismic MOS scales have been found:
+The following rank-2 quartismic temperament MOS scales have been found:
 * [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(53.37418112074753%2C%202%2F1)%2C%2013%7C9&data=53.374181%0A106.748362%0A160.122543%0A213.496724%0A266.870906%0A320.245087%0A373.619268%0A426.993449%0A480.367630%0A533.741811%0A587.115992%0A640.490173%0A693.864355%0A719.632370%0A773.006551%0A826.380732%0A879.754913%0A933.129094%0A986.503276%0A1039.877457%0A1093.251638%0A1146.625819%0A1200.000000&freq=440&midi=69&vert=5&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (53.37418112074753, 2/1), 13|9]
 * [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(106.71461627796054%2C%201200.0)%2C%205%7C5&data=106.714616%0A213.429233%0A320.143849%0A426.858465%0A533.573081%0A666.426919%0A773.141535%0A879.856151%0A986.570767%0A1093.285384%0A1200.000000&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (106.71461627796054, 1200.0), 5|5]
@@ Line 37: / Line 37: @@
 Commas: 32805/32768, 117440512/117406179
-POTE generator:
+POTE generators: 701.7299, 53.3889
-Mapping generator:
+Mapping generators: 2/1, 3/2, 33/32
-Map:
+Map: [<1 0 15 1 5|, <0 1 -8 1 -1|, <0 0 0 5 1|]
 EDOs:  {{EDOs|24, 135, 159, 224, 472}}
 Badness:
 == 13-limit ==
 Commas: 10985/10976, 32805/32768, 117440512/117406179
-POTE generator:
+POTE generators: 166.0628, 53.4151
-Mapping generator:
+Mapping generators: 2/1, 11/10, 33/32
-Map:
+Map: [<1 2 -1 3 3 5|, <0 -3 24 -3 3 -11|, <0 0 0 5 1 5|]
-EDOs:
+EDOs: {{EDOs}}
 Badness: