17edo neutral scale: Difference between revisions
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A lovely system of Middle-Eastern flavored scales! | 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 [[ | 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 [[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: | 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]]). | We have arrived again at a MOS scale, of type 3L+4s ("mosh" according to the [[MOSNamingScheme]]). | ||
==Interval chain== | ==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: | 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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<references/> | <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 == | == 7-note neutral scale == | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 1 : bish | ! mode 1 : bish{{idiosyncratic}} | ||
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! in between | ! in between | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 2 : dril | ! mode 2 : dril{{idiosyncratic}} | ||
! from bottom | ! from bottom | ||
! in between | ! in between | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 3 : fish | ! mode 3 : fish{{idiosyncratic}} | ||
! from bottom | ! from bottom | ||
! in between | ! in between | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 4 : gil | ! mode 4 : gil{{idiosyncratic}} | ||
! from bottom | ! from bottom | ||
! in between | ! in between | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 5 : jwl | ! mode 5 : jwl{{idiosyncratic}} | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 6 : kleeth | ! mode 6 : kleeth{{idiosyncratic}} | ||
! from bottom | ! from bottom | ||
! in between | ! in between | ||
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{| class="wikitable" | {| class="wikitable" | ||
! mode 7 : led | ! mode 7 : led{{idiosyncratic}} | ||
! from bottom | ! from bottom | ||
! in between | ! in between |