13edo: Difference between revisions

Inthar (talk | contribs)
13edo: 13 equal divisions of the octave: Kentaku nominal names are based on the Ilarnekian mode, not Dylathian
Inthar (talk | contribs)
Line 22: Line 22:
! | [[26edo|26edo]] names
! | [[26edo|26edo]] names
! | Kentaku
! | Kentaku
! | Pseudo-Diatonic Category
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
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| style="text-align:center;" | C
| style="text-align:center;" | C
| style="text-align:center;" | J
| style="text-align:center;" | J
| style="text-align:center;" | Unison
|-
|-
| style="text-align:center;" | 1
| style="text-align:center;" | 1
Line 40: Line 42:
| style="text-align:center;" | Cx/Dbb
| style="text-align:center;" | Cx/Dbb
| style="text-align:center;" | J#/Kb
| style="text-align:center;" | J#/Kb
| style="text-align:center;" | Minor second
|-
|-
| style="text-align:center;" | 2
| style="text-align:center;" | 2
Line 49: Line 52:
| style="text-align:center;" | D
| style="text-align:center;" | D
| style="text-align:center;" | K
| style="text-align:center;" | K
| style="text-align:center;" | Major second
|-
|-
| style="text-align:center;" | 3
| style="text-align:center;" | 3
Line 58: Line 62:
| style="text-align:center;" | Dx/Ebb
| style="text-align:center;" | Dx/Ebb
| style="text-align:center;" | K#/Lb
| style="text-align:center;" | K#/Lb
| style="text-align:center;" | Minor third
|-
|-
| style="text-align:center;" | 4
| style="text-align:center;" | 4
Line 67: Line 72:
| style="text-align:center;" | E
| style="text-align:center;" | E
| style="text-align:center;" | L
| style="text-align:center;" | L
| style="text-align:center;" | Major third
|-
|-
| style="text-align:center;" | 5
| style="text-align:center;" | 5
Line 76: Line 82:
| style="text-align:center;" | Ex/Fb
| style="text-align:center;" | Ex/Fb
| style="text-align:center;" | M
| style="text-align:center;" | M
| style="text-align:center;" | Minor fourth
|-
|-
| style="text-align:center;" | 6
| style="text-align:center;" | 6
Line 85: Line 92:
| style="text-align:center;" | F#
| style="text-align:center;" | F#
| style="text-align:center;" | M#/Nb
| style="text-align:center;" | M#/Nb
| style="text-align:center;" | Major fourth/Minor tritone
|-
|-
| style="text-align:center;" | 7
| style="text-align:center;" | 7
Line 94: Line 102:
| style="text-align:center;" | Gb
| style="text-align:center;" | Gb
| style="text-align:center;" | N
| style="text-align:center;" | N
| style="text-align:center;" | Minor fifth/Major tritone
|-
|-
| style="text-align:center;" | 8
| style="text-align:center;" | 8
Line 103: Line 112:
| style="text-align:center;" | G#
| style="text-align:center;" | G#
| style="text-align:center;" | O
| style="text-align:center;" | O
| style="text-align:center;" | Major fifth
|-
|-
| style="text-align:center;" | 9
| style="text-align:center;" | 9
Line 112: Line 122:
| style="text-align:center;" | Ab
| style="text-align:center;" | Ab
| style="text-align:center;" | O#/Pb
| style="text-align:center;" | O#/Pb
| style="text-align:center;" | Minor sixth
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
Line 121: Line 132:
| style="text-align:center;" | A#
| style="text-align:center;" | A#
| style="text-align:center;" | P
| style="text-align:center;" | P
| style="text-align:center;" | Major sixth
|-
|-
| style="text-align:center;" | 11
| style="text-align:center;" | 11
Line 130: Line 142:
| style="text-align:center;" | Bb
| style="text-align:center;" | Bb
| style="text-align:center;" | P#/Qb
| style="text-align:center;" | P#/Qb
| style="text-align:center;" | Minor seventh
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
Line 139: Line 152:
| style="text-align:center;" | B#/Cbb
| style="text-align:center;" | B#/Cbb
| style="text-align:center;" | Q
| style="text-align:center;" | Q
| style="text-align:center;" | Major seventh
|-
|-
| style="text-align:center;" | 13
| style="text-align:center;" | 13
Line 148: Line 162:
| style="text-align:center;" | C
| style="text-align:center;" | C
| style="text-align:center;" | J
| style="text-align:center;" | J
| style="text-align:center;" | Octave
|}
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*based on treating 13-EDO as a 2.5.9.11.13.21 subgroup temperament; other approaches are possible.
*based on treating 13-EDO as a 2.5.9.11.13.21 subgroup temperament; other approaches are possible.