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'''. 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.

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

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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 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:

Naturally, with seven notes we have seven modes, depending on which note we make the starting pitch (tonic) of the scale. I ([[User:IlL|Inthar]]) 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:

{| class="wikitable"

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== Some brief note on the 3, 7 and 10 note MOS ==

You can also take call the neutral sixth the generator, which I personally favour as it is an (approximate) harmonic rather than a subharmonic. But that's because it's how I use it, you might not. If you see it this way, the 3rd harmonic is harmonically opposite to the 13th harmonic, because, (13/8)^2 ~ 4/3, the perfect fourth being an upside down perfect fifth.

You can also take call the neutral sixth the generator, which I ([[User:IlL|Inthar]]) personally favour as it is an (approximate) harmonic rather than a subharmonic. But that's because it's how I use it, you might not. If you see it this way, the 3rd harmonic is harmonically opposite to the 13th harmonic, because, (13/8)^2 ~ 4/3, the perfect fourth being an upside down perfect fifth.

You might also find that the 10-note scale can be formed by two 17-tone pythagoresque pentatonic scales a neutral interval apart, implying something of a different approach. And one of the loveliest things I find about them is the ease with which one can play 8:11:13 chords, so there are some frightening blues licks in this decatonic scale. R'lyeh blues anyone?

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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'''. 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.
 Begin anywhere. Let's call our first pitch (&amp; its octave transposition) 0:
@@ Line 130: / Line 130: @@
 === 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 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:
+Naturally, with seven notes we have seven modes, depending on which note we make the starting pitch (tonic) of the scale. I ([[User:IlL|Inthar]]) 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:
 {| class="wikitable"
@@ Line 298: / Line 298: @@
 == Some brief note on the 3, 7 and 10 note MOS ==
-You can also take call the neutral sixth the generator, which I personally favour as it is an (approximate) harmonic rather than a subharmonic. But that's because it's how I use it, you might not. If you see it this way, the 3rd harmonic is harmonically opposite to the 13th harmonic, because, (13/8)^2 ~ 4/3, the perfect fourth being an upside down perfect fifth.
+You can also take call the neutral sixth the generator, which I ([[User:IlL|Inthar]]) personally favour as it is an (approximate) harmonic rather than a subharmonic. But that's because it's how I use it, you might not. If you see it this way, the 3rd harmonic is harmonically opposite to the 13th harmonic, because, (13/8)^2 ~ 4/3, the perfect fourth being an upside down perfect fifth.
 You might also find that the 10-note scale can be formed by two 17-tone pythagoresque pentatonic scales a neutral interval apart, implying something of a different approach. And one of the loveliest things I find about them is the ease with which one can play 8:11:13 chords, so there are some frightening blues licks in this decatonic scale. R'lyeh blues anyone?