4L 3s: Difference between revisions

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4L 3s can be thought of as a [[Warped diatonic|warped diatonic scale]], because it has one large step of diatonic (5L 2s, LLsLLLs) replaced with a small step (yielding LLsLsLs).

== Standing assumptions ==

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

== Names ==

The [[TAMNAMS]] MOS naming system (used in this article) uses the name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this pattern. The name is derived from 'sharp minor third', since the central range of the spectrum, 4\15 = 320¢ to 7\18 = 333.33¢, has minor third generators that are significantly sharp of 6/5.

The notation used in this article is LsLsLsL = JKLMNOPJ 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".)

Thus the [[11edo]] gamut is as follows:

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

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4L 3s has several temperament interpretations:

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There are also other temperaments in the 4L 3s range, particularly [[amity]] and [[myna]], but 7 notes in the generator chain are not enough to contain the most concordant chords in these temperaments; you would need to use a [[MODMOS]] or use a larger MOS gamut.

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~~== Notation ==~~

The notation used in this article is LsLsLsL = JKLMNOPJ 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".)

~~Thus the [[11edo]] gamut is as follows:~~

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

== Intervals ==

{| class="wikitable center-all"

@@ Line 12: / Line 12: @@
 L 3s can be thought of as a [[Warped diatonic|warped diatonic scale]], because it has one large step of diatonic (5L 2s, LLsLLLs) replaced with a small step (yielding LLsLsLs).
+== Standing assumptions ==
+The [[TAMNAMS]] system is used in this article to name 5L 3s intervals and step size ratios and step ratio ranges.
 == Names ==
 The [[TAMNAMS]] MOS naming system (used in this article) uses the name '''smitonic''' ''smy-TON-ik'' /smaɪˈtɒnɪk/ for this pattern. The name is derived from 'sharp minor third', since the central range of the spectrum, 4\15 = 320¢ to 7\18 = 333.33¢, has minor third generators that are significantly sharp of 6/5.
+The notation used in this article is LsLsLsL = JKLMNOPJ 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".)
+Thus the [[11edo]] gamut is as follows:
+'''J''' J&/K@ '''K''' '''L''' L&/M@ '''M''' '''N''' N&/O@ '''O''' '''P''' P&/J@ '''J'''
 <!--
 L 3s has several temperament interpretations:
@@ Line 24: / Line 33: @@
 There are also other temperaments in the 4L 3s range, particularly [[amity]] and [[myna]], but 7 notes in the generator chain are not enough to contain the most concordant chords in these temperaments; you would need to use a [[MODMOS]] or use a larger MOS gamut.
 -->
-== Notation ==
-The notation used in this article is LsLsLsL = JKLMNOPJ 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".)
-Thus the [[11edo]] gamut is as follows:
-'''J''' J&/K@ '''K''' '''L''' L&/M@ '''M''' '''N''' N&/O@ '''O''' '''P''' P&/J@ '''J'''
 == Intervals ==
 {| class="wikitable center-all"