Gallery of 3-SN scales: Difference between revisions

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See [[SN scale]] and [[Rank-3 scale]].

Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of [[Pythagorean]], [[Meantone]], [[Superpyth]], [[Mavila]], and [[Father]] [[MOS scale|MOS]] (2-SN) scales is (2/1, 3/2). Germinations are grouped by their subgroup, and within that, by the first comma tempered out in scales evolved from the germination.

Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of [[Pythagorean]], [[Meantone]], [[Superpyth]], [[Mavila]], and [[Father]] [[MOS scale|MOS]] (2-SN) scales is ([[Octave|2/1]], [[3/2]]). Germinations are grouped by their [[subgroup]], and within that, by the first [[comma]] [[Tempering out|tempered out]] in scales evolved from the germination.

Commas tempered out are shown in their simplest basis set, as per SN labeling conventions.

Commas tempered out are shown in their simplest basis set, as per [[SN scale#Labeling|SN labeling conventions]].

Tempered scales are shown in JI as their simplest symmetric pre-image.

Tempered scales are shown in [[Just intonation|JI]] as their simplest symmetric pre-image.

Scales are written in JI and as step patterns in their symmetric mode (scales of odd cardinality) or, for scales of even cardinality, mostly in the even-symmetric mode: the mode symmetric without 2/1, otherwise in the inverse of the even-symmetric mode (the mode symmetric without 1/1).

Scales are written in [[Just intonation|JI]] and as step patterns in their symmetric mode (scales of odd cardinality) or, for scales of even cardinality, mostly in the even-symmetric mode: the mode symmetric without [[Octave|2/1]], otherwise in the inverse of the even-symmetric mode (the mode symmetric without [[1/1]]).

==2.3.5; [[Marvel]]==

===(2/1, 3/2, 5/4) ===

@@ Line 3: / Line 3: @@
 See [[SN scale]] and [[Rank-3 scale]].
-Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of [[Pythagorean]], [[Meantone]], [[Superpyth]], [[Mavila]], and [[Father]] [[MOS scale|MOS]] (2-SN) scales is (2/1, 3/2). Germinations are grouped by their subgroup, and within that, by the first comma tempered out in scales evolved from the germination.
+Scales are grouped by their ''germinations'', the sequence of introduction of generators until 3 are reached, at which point the ''primitive'' 3-SN scale is developed (the first listed under each germination), from which all others of that germination evolve. The germination of [[Pythagorean]], [[Meantone]], [[Superpyth]], [[Mavila]], and [[Father]] [[MOS scale|MOS]] (2-SN) scales is ([[Octave|2/1]], [[3/2]]). Germinations are grouped by their [[subgroup]], and within that, by the first [[comma]] [[Tempering out|tempered out]] in scales evolved from the germination.
-Commas tempered out are shown in their simplest basis set, as per SN labeling conventions.
+Commas tempered out are shown in their simplest basis set, as per [[SN scale#Labeling|SN labeling conventions]].
-Tempered scales are shown in JI as their simplest symmetric pre-image.
+Tempered scales are shown in [[Just intonation|JI]] as their simplest symmetric pre-image.
-Scales are written in JI and as step patterns in their symmetric mode (scales of odd cardinality) or, for scales of even cardinality, mostly in the even-symmetric mode: the mode symmetric without 2/1, otherwise in the inverse of the even-symmetric mode (the mode symmetric without 1/1).
+Scales are written in [[Just intonation|JI]] and as step patterns in their symmetric mode (scales of odd cardinality) or, for scales of even cardinality, mostly in the even-symmetric mode: the mode symmetric without [[Octave|2/1]], otherwise in the inverse of the even-symmetric mode (the mode symmetric without [[1/1]]).
 ==2.3.5; [[Marvel]]==
 ===(2/1, 3/2, 5/4) ===