17edo neutral scale: Difference between revisions

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A lovely system of Middle-Eastern flavored scales!

We can call the [[MOSScales|Moment of Symmetry]] scale derived from a 5/17 generator & an octave repeat the '''17edo Neutral Scale'''. We build it by stacking neutral thirds, the generator of the [[~~maqamic|maqamic temperament~~]]. In [[17edo]] that means the interval of five degrees of 17.

We can call the [[MOSScales|Moment of Symmetry]] scale derived from a 5/17 generator & an octave repeat the '''17edo Neutral Scale'''. It is an example of a [[neutral thirds scale]]. We build it by stacking neutral thirds, the generator of the [[neutrominant]] temperament. In [[17edo]] that means the interval of five degrees of 17.

Begin anywhere. Let's call our first pitch (& its octave transposition) 0:

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We have arrived again at a MOS scale, of type 3L+4s ("mosh" according to the [[MOSNamingScheme]]).

==Interval chain==

Viewing 17edo as a temperament on the 2.3.7.11.13 subgroup, we get the following interpretation for the 2122122212 mode of the 10-note MOS scale:

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The 6th degree can be raised by a chroma to a 23/16 (-5 generators). Some may prefer using the sharper 6th degree because it makes a 7/4 with the 8th degree.

The 6th degree can be raised by a [[chroma]] to a 23/16 (-5 generators). Some may prefer using the sharper 6th degree because it makes a 7/4 with the 8th degree.

== 7-note neutral scale ==

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=== modes of 7-note neutral scale ===

Naturally, with seven notes we have seven modes, depending on which note we make the starting pitch (tonic) of the scale. I ([[Andrew Heathwaite]]) have given these modes a one-syllable name for my own use. Feel free to name (or not name) these modes as you see fit:

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 A lovely system of Middle-Eastern flavored scales!
-We can call the [[MOSScales|Moment of Symmetry]] scale derived from a 5/17 generator &amp; an octave repeat the '''17edo Neutral Scale'''. We build it by stacking neutral thirds, the generator of the [[maqamic|maqamic temperament]]. In [[17edo]] that means the interval of five degrees of 17.
+We can call the [[MOSScales|Moment of Symmetry]] scale derived from a 5/17 generator &amp; an octave repeat the '''17edo Neutral Scale'''. It is an example of a [[neutral thirds scale]]. We build it by stacking neutral thirds, the generator of the [[neutrominant]] temperament. In [[17edo]] that means the interval of five degrees of 17.
 Begin anywhere. Let's call our first pitch (&amp; its octave transposition) 0:
@@ Line 40: / Line 40: @@
 We have arrived again at a MOS scale, of type 3L+4s ("mosh" according to the [[MOSNamingScheme]]).
 ==Interval chain==
 Viewing 17edo as a temperament on the 2.3.7.11.13 subgroup, we get the following interpretation for the 2122122212 mode of the 10-note MOS scale:
@@ Line 112: / Line 113: @@
 <references/>
-The 6th degree can be raised by a chroma to a 23/16 (-5 generators). Some may prefer using the sharper 6th degree because it makes a 7/4 with the 8th degree.
+The 6th degree can be raised by a [[chroma]] to a 23/16 (-5 generators). Some may prefer using the sharper 6th degree because it makes a 7/4 with the 8th degree.
 == 7-note neutral scale ==
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 === modes of 7-note neutral scale ===
+{{Idiosyncratic terms|The 7 proposed mode names}}
 Naturally, with seven notes we have seven modes, depending on which note we make the starting pitch (tonic) of the scale. I ([[Andrew Heathwaite]]) have given these modes a one-syllable name for my own use. Feel free to name (or not name) these modes as you see fit: