5L 3s: Difference between revisions

Line 17:

5L 3s has a pentatonic MOS subset [[3L 2s]] (SLSLL). (Note: [[3L 5s]] scales also have 3L 2s subsets.)

~~== Names ==~~

The [[TAMNAMS]] system, used by this article, uses the name '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') or 'oneiro' for short. The name ''oneirotonic'' (from Greek ''oneiros'' 'dream') is coined after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos.

~~'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as~~ [[~~father~~]] is ~~technically an abstract [[regular temperament]], not a generator range. A more correct way~~ to ~~say it would be 'father[8]' or 'father octatonic'. "Father" is also vague because optimal generators for it also generate [[3L 2s]]~~.

== Standing assumptions ==

The [[TAMNAMS]] system is used in this article to name 5L 3s intervals and step size ratios and step ratio ranges.

~~== Notation==~~

The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, with reference pitch N = 261.6255653 Hz, unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".) Ultharian has been chosen as the default mode because we want to carry over the diatonic idea of sharpening the second-to-last degree to get the leading tone for minor keys and the sharpened "Vmaj", and we also have the "sharp V" for the oneiromajor tonality by default.

Line 38:

Line 36:

'''J''' J& K@ '''K''' K&/L@ '''L''' L& M@ '''M''' M& N@ '''N''' N&/O@ '''O''' O& P@ '''P''' P&/Q@ '''Q''' Q& J@ '''J'''

== Names ==

The [[TAMNAMS]] system, used by this article, uses the name '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') or 'oneiro' for short. The name ''oneirotonic'' (from Greek ''oneiros'' 'dream') is coined after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos.

'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]], not a generator range. A more correct way to say it would be 'father[8]' or 'father octatonic'. "Father" is also vague because optimal generators for it also generate [[3L 2s]].

== Intervals ==

@@ Line 17: / Line 17: @@
 L 3s has a pentatonic MOS subset [[3L 2s]] (SLSLL). (Note: [[3L 5s]] scales also have 3L 2s subsets.)
-== Names ==
-The [[TAMNAMS]] system, used by this article, uses the name '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') or 'oneiro' for short. The name ''oneirotonic'' (from Greek ''oneiros'' 'dream') is coined after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos.
-'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]], not a generator range. A more correct way to say it would be 'father[8]' or 'father octatonic'. "Father" is also vague because optimal generators for it also generate [[3L 2s]].
+== Standing assumptions ==
+The [[TAMNAMS]] system is used in this article to name 5L 3s intervals and step size ratios and step ratio ranges.
-== Notation==
 The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, with reference pitch N = 261.6255653 Hz, unless specified otherwise. We denote raising and lowering by a chroma (L &minus; s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".) Ultharian has been chosen as the default mode because we want to carry over the diatonic idea of sharpening the second-to-last degree to get the leading tone for minor keys and the sharpened "Vmaj", and we also have the "sharp V" for the oneiromajor tonality by default.
@@ Line 38: / Line 36: @@
 '''J''' J& K@ '''K''' K&/L@ '''L''' L& M@ '''M''' M& N@ '''N''' N&/O@ '''O''' O& P@ '''P''' P&/Q@ '''Q''' Q& J@ '''J'''
+== Names ==
+The [[TAMNAMS]] system, used by this article, uses the name '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') or 'oneiro' for short. The name ''oneirotonic'' (from Greek ''oneiros'' 'dream') is coined after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos.
+'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]], not a generator range. A more correct way to say it would be 'father[8]' or 'father octatonic'. "Father" is also vague because optimal generators for it also generate [[3L 2s]].
 == Intervals ==