3L 5s: Difference between revisions

Restore scale-tree entries. Looks like 0-indexed intervals have been adopted
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== Theory ==
== Theory ==
In contrast to oneirotonic ([[5L 3s]]), which often require the usage of completely new chords to have consonant-sounding music, some checkertonic scales contain approximations to a perfect fifth ([[3/2]], usually as a dim. chk6th or maj. chk5th), and thus can be used for traditional root-3rd-P5 harmony.
In contrast to oneirotonic ([[5L 3s]]), which often require the usage of completely new chords to have consonant-sounding music, some checkertonic scales contain approximations to a perfect fifth ([[3/2]], usually as a dim. chk6th or maj. chk5th), and thus can be used for traditional root-3rd-P5 harmony.


=== Low harmonic entropy scales ===
=== Low harmonic entropy scales ===
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! (9)
! (9)
|-
|-
| <nowiki>7|0</nowiki>
| 7{{pipe}}0
| Anti-Sarnathian
| Anti-Sarnathian
| King
| King
| LsLssLss
| LsLssLss
| J
| J
| K&
| K&amp;
| L
| L
| M&
| M&amp;
| N&
| N&amp;
| O
| O
| P&
| P&amp;
| Q
| Q
| (J)
| (J)
|-
|-
| <nowiki>6|1</nowiki>
| 6{{pipe}}1
| Anti-Hlanithian
| Anti-Hlanithian
| Queen
| Queen
| LssLsLss
| LssLsLss
| J
| J
| K&
| K&amp;
| L
| L
| M
| M
| N&
| N&amp;
| O
| O
| P&
| P&amp;
| Q
| Q
| (J)
| (J)
|-
|-
| <nowiki>5|2</nowiki>
| 5{{pipe}}2
| Anti-Kadathian
| Anti-Kadathian
| Marshall
| Marshall
| LssLssLs
| LssLssLs
| J
| J
| K&
| K&amp;
| L
| L
| M
| M
| N&
| N&amp;
| O
| O
| P
| P
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| (J)
| (J)
|-
|-
| <nowiki>4|3</nowiki>
| 4{{pipe}}3
| Anti-Mnarian
| Anti-Mnarian
| Cardinal
| Cardinal
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| L
| L
| M
| M
| N&
| N&amp;
| O
| O
| P
| P
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| (J)
| (J)
|-
|-
| <nowiki>3|4</nowiki>
| 3{{pipe}}4
| Anti-Ultharian
| Anti-Ultharian
| Rook
| Rook
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| (J)
| (J)
|-
|-
| <nowiki>2|5</nowiki>
| 2{{pipe}}5
| Anti-Celephaïsian
| Anti-Celephaïsian
| Bishop
| Bishop
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| (J)
| (J)
|-
|-
| <nowiki>1|6</nowiki>
| 1{{pipe}}6
| Anti-Illarnekian
| Anti-Illarnekian
| Knight
| Knight
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| (J)
| (J)
|-
|-
| <nowiki>0|7</nowiki>
| 0{{pipe}}7
| Anti-Dylathian
| Anti-Dylathian
| Pawn
| Pawn