4L 3s: Difference between revisions

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* The large step is a "meantone", somewhere between near-10/9 (as in [[32edo]]) and near-9/8 (as in [[18edo]]).

* The augmented mosthird (made of two large steps) is a roughly [[meantone]]-sized major third, thus is a stand-in for the classical diatonic major third.

Parasoft smitonic tunings have both minor fifths and major fifths about equally off a just fifth, and they have otherwise fairly convincing versions of both diatonic structure and tertian harmony, provided you frequently modify using the comma-like ~~smichromas~~. For this reason, parasoft might be the most accessible smitonic tuning range.

Parasoft smitonic tunings have both minor fifths and major fifths about equally off a just fifth, and they have otherwise fairly convincing versions of both diatonic structure and tertian harmony, provided you frequently modify using the comma-like chromas. For this reason, parasoft might be the most accessible smitonic tuning range.

Parasoft smitonic EDOs include [[18edo]], [[25edo]], and [[43edo]].

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==== Intervals ====

Sortable table of the extended generator chain (-13 to 13 generators) in parasoft smitonic tunings. The several different interval flavors separated by the ~~smichroma~~ shows that parasoft smitonic is a useful [[cluster MOS]], though many of the intervals lack simple JI interpretations.

Sortable table of the extended generator chain (-13 to 13 generators) in parasoft smitonic tunings. The several different interval flavors separated by the chroma shows that parasoft smitonic is a useful [[cluster MOS]], though many of the intervals lack simple JI interpretations.

{| class="wikitable right-2 right-3 right-4 sortable "

|-

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| 0

|-bgcolor="#eaeaff"

| ~~smichroma~~

| chroma

| 1\18, 66.7

| 1\25, 48.0

@@ Line 155: / Line 155: @@
 * The large step is a "meantone", somewhere between near-10/9 (as in [[32edo]]) and near-9/8 (as in [[18edo]]).
 * The augmented mosthird (made of two large steps) is a roughly [[meantone]]-sized major third, thus is a stand-in for the classical diatonic major third.
-Parasoft smitonic tunings have both minor fifths and major fifths about equally off a just fifth, and they have otherwise fairly convincing versions of both diatonic structure and tertian harmony, provided you frequently modify using the comma-like smichromas. For this reason, parasoft might be the most accessible smitonic tuning range.
+Parasoft smitonic tunings have both minor fifths and major fifths about equally off a just fifth, and they have otherwise fairly convincing versions of both diatonic structure and tertian harmony, provided you frequently modify using the comma-like chromas. For this reason, parasoft might be the most accessible smitonic tuning range.
 Parasoft smitonic EDOs include [[18edo]], [[25edo]], and [[43edo]].
@@ Line 190: / Line 190: @@
 ==== Intervals ====
-Sortable table of the extended generator chain (-13 to 13 generators) in parasoft smitonic tunings. The several different interval flavors separated by the smichroma shows that parasoft smitonic is a useful [[cluster MOS]], though many of the intervals lack simple JI interpretations.
+Sortable table of the extended generator chain (-13 to 13 generators) in parasoft smitonic tunings. The several different interval flavors separated by the chroma shows that parasoft smitonic is a useful [[cluster MOS]], though many of the intervals lack simple JI interpretations.
 {| class="wikitable right-2 right-3 right-4 sortable "
 |-
@@ Line 209: / Line 209: @@
 | 0
 |-bgcolor="#eaeaff"
-| smichroma
+| chroma
 | 1\18, 66.7
 | 1\25, 48.0