5L 4s: Difference between revisions

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'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).

The familiar harmonic entropy minimum with this MOS pattern is [[Meantone_family#Godzilla|godzilla]], in which a generator is [[8/7|8/7]] or [[7/6|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4/3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic_pairs#semaphore|semaphore]], there is also a weird scale called "[[Pseudo-semaphore|pseudo-semaphore]]", in which two different flavors of [[3/2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.

== Scale tree ==

{| class="wikitable"

|-

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| style="text-align:center;" |

|}

== Tuning ranges and data ==

=== Semaphore ===

=== Bug ===

== Notations ==

== Intervals ==

== Modes ==

TODO: names

* LLsLsLsLs

* LsLLsLsLs

* LsLsLLsLs

* LsLsLsLLs

* LsLsLsLsL

* sLLsLsLsL

* sLsLLsLsL

* sLsLsLLsL

* sLsLsLsLL

One can think of godzilla[9] modes as being built from two pentachords (division of the perfect fourth into four intervals) plus a whole tone. The possible pentachords are LsLs, sLLs, and sLsL.

== Chords ==

== Primodal theory ==

=== Nejis ===

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+'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).
 The familiar harmonic entropy minimum with this MOS pattern is [[Meantone_family#Godzilla|godzilla]], in which a generator is [[8/7|8/7]] or [[7/6|7/6]] (tempered to be the same interval, or even 37/32 if you like) so two of them make a [[4/3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic_pairs#semaphore|semaphore]], there is also a weird scale called "[[Pseudo-semaphore|pseudo-semaphore]]", in which two different flavors of [[3/2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.
+== Scale tree ==
 {| class="wikitable"
 |-
@@ Line 641: / Line 643: @@
 | style="text-align:center;" |
 |}
+== Tuning ranges and data ==
+=== Semaphore ===
+=== Bug ===
+== Notations ==
+== Intervals ==
+== Modes ==
+TODO: names
+* LLsLsLsLs
+* LsLLsLsLs
+* LsLsLLsLs
+* LsLsLsLLs
+* LsLsLsLsL
+* sLLsLsLsL
+* sLsLLsLsL
+* sLsLsLLsL
+* sLsLsLsLL
+One can think of godzilla[9] modes as being built from two pentachords (division of the perfect fourth into four intervals) plus a whole tone. The possible pentachords are LsLs, sLLs, and sLsL.
+== Chords ==
 == Primodal theory ==
 === Nejis ===