17edo tetrachords: Difference between revisions

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| ja = 17平均律テトラコード

}}

Let a "17edo primary [[tetrachord]]" mean a set of four pitches in [[17edo]] that span a [[perfect fourth]] (seven degrees) and include one of each of the following:

~~Let a "17edo primary [[tetrachord|tetrachord]]" mean a set of four pitches in [[17edo|17edo]] that span a [[Perfect_fourth|perfect fourth]] (seven degrees) and include one of each of the following:~~

* the unison - 0 (degrees of 17edo) - solfege name 'do'.

* a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).

~~<ol><li>~~the unison - 0 (degrees of 17edo) - solfege name 'do'.~~</li><li>~~a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).~~</li><li>~~a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).~~</li><li>~~the perfect fourth - 7 (fa).~~</li></ol>~~

* a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).

* the perfect fourth - 7 (fa).

===correspondance:===

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| | do ru me fa

| | Bayyati (arabic)

| | [[~~17edo_neutral_scale|~~17edo neutral scale]] (led)

| | [[17edo neutral scale]] (led)

|-

| | 2-3-2

| | do ru mu fa

| | Iraq (arabic)

| | [[~~17edo_neutral_scale|~~17edo neutral scale]] (bish, fish, jwl)

| | [[17edo neutral scale]] (bish, fish, jwl)

|-

| | 2-4-1

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| | do re me fa

| | aeolian

| | diatonic (aolian, dorian) ; [[~~Scorp|~~scorp]] (mode 3)

| | diatonic (aolian, dorian) ; [[scorp]] (mode 3)

|-

| | 3-2-2

| | do re mu fa

| | Rast (arabic)

| | [[~~17edo_neutral_scale|~~17edo neutral scale]] (dril, gil, kleeth)

| | [[17edo neutral scale]] (dril, gil, kleeth)

|-

| | 3-3-1

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|}

See also: [[~~tetrachord|~~tetrachord]], [[~~22edo_tetrachords|~~22edo tetrachords]], [[~~Tricesimoprimal_Tetrachordal_Tesseract|~~Tricesimoprimal Tetrachordal Tesseract]].

See also: [[tetrachord]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]].

[[Category:17edo]]

[[Category:Equal divisions of the octave]]

[[Category:tetrachord]]

@@ Line 5: / Line 5: @@
 | ja = 17平均律テトラコード
 }}
+Let a "17edo primary [[tetrachord]]" mean a set of four pitches in [[17edo]] that span a [[perfect fourth]] (seven degrees) and include one of each of the following:
-Let a "17edo primary [[tetrachord|tetrachord]]" mean a set of four pitches in [[17edo|17edo]] that span a [[Perfect_fourth|perfect fourth]] (seven degrees) and include one of each of the following:
+* the unison - 0 (degrees of 17edo) - solfege name 'do'.
+* a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).
-<ol><li>the unison - 0 (degrees of 17edo) - solfege name 'do'.</li><li>a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).</li><li>a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).</li><li>the perfect fourth - 7 (fa).</li></ol>
+* a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).
+* the perfect fourth - 7 (fa).
 ===correspondance:===
@@ Line 105: / Line 107: @@
 | | do ru me fa
 | | Bayyati (arabic)
-| | [[17edo_neutral_scale|17edo neutral scale]] (led)
+| | [[17edo neutral scale]] (led)
 |-
 | | 2-3-2
 | | do ru mu fa
 | | Iraq (arabic)
-| | [[17edo_neutral_scale|17edo neutral scale]] (bish, fish, jwl)
+| | [[17edo neutral scale]] (bish, fish, jwl)
 |-
 | | 2-4-1
@@ Line 120: / Line 122: @@
 | | do re me fa
 | | aeolian
-| | diatonic (aolian, dorian) ; [[Scorp|scorp]] (mode 3)
+| | diatonic (aolian, dorian) ; [[scorp]] (mode 3)
 |-
 | | 3-2-2
 | | do re mu fa
 | | Rast (arabic)
-| | [[17edo_neutral_scale|17edo neutral scale]] (dril, gil, kleeth)
+| | [[17edo neutral scale]] (dril, gil, kleeth)
 |-
 | | 3-3-1
@@ Line 233: / Line 235: @@
 |}
-See also: [[tetrachord|tetrachord]], [[22edo_tetrachords|22edo tetrachords]], [[Tricesimoprimal_Tetrachordal_Tesseract|Tricesimoprimal Tetrachordal Tesseract]].
+See also: [[tetrachord]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]].
 [[Category:17edo]]
 [[Category:Equal divisions of the octave]]
 [[Category:tetrachord]]