17edo neutral scale: Difference between revisions

Xenwolf (talk | contribs)
Interval chain: simplified table. @IlL: please have another look on the table help, there should be some good news for you. Don't blindly copy table "templates" from somewhere!
Inthar (talk | contribs)
m Interval chain: corrections, use harmonically simpler interpretation of 11/8
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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 2.3.5.7.11.13.23.25 subgroup, we get the following interpretation for the 10-note MOS scale:
 
 
{| class="wikitable sortable right-1 right-2"
{| class="wikitable sortable right-1 right-2"
|-
|-
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! Harmonics approximated
! Harmonics approximated
! #Gens up
! #Gens up
|-
| 6
| style="text-align:right;" | 9
| Gd
| '''23/16'''
| -5
|-
|-
| 9
| 9
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| '''9/8'''
| '''9/8'''
| +4
| +4
|-
| 6
| 8
| F+
| '''11/8'''
| +5
|}
|}
The 6th degree can be swapped for a 11/8 (+5 generators) by lowering it by a chroma. I prefer using the sharper note 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). I prefer using the sharper 6th degree because it makes a 7/4 with the 8th degree.


== 7-note neutral scale ==
== 7-note neutral scale ==