9ed4/3: Difference between revisions

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'''9ed4/3''', also known as '''Noleta''', is a tuning system based on the division of the [[perfect fourth]] (4/3) into 9 equal parts, each 55.3383 [[cent]]s in size; this corresponds to 21.6848[[edo]], or approximately to every three steps of [[65edo]]. The name ‘Noleta’ seems to be coined by [[Ron Sword]]: [http://www.nonoctave.com/forum/messages/9197.html?n=12 Nonoctave.com: Messages: 9197]

'''9ed4/3''', also known as '''Noleta''', is a tuning system based on the division of the [[perfect fourth]] (4/3) into 9 equal parts, each 55.3383 [[cent]]s in size; this corresponds to 21.6848[[edo]], or approximately to every three steps of [[65edo]]. The name ‘Noleta’ seems to be coined by [[Ron Sword]]<ref>[http://www.nonoctave.com/forum/messages/9197.html?n=12 Nonoctave.com: Messages: 9197]{{dead link}}</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100326.html Some Mysterious Scales] on [[Yahoo Groups tuning lists]]</ref><ref>[https://www.facebook.com/groups/2229924481/?multi_permalinks=10150273357164482 Ron Sword's reply on Facebook (archived group)]</ref>.

Regular temperaments that divide 4/3 into 9 equal parts include:

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== Intervals ==

9ed4/3 has good approximations of [[5/4]] and [[11/10]] (the latter from [[3ed4/3]]) and their fourth-complements [[16/15]] and [[40/33]]. Treated as a 4/3.5/4.11/8 temperament, it tempers out the commas [[4000/3993]] and [[5632/5625]], a structure that is identical to [[escapade]]. [[32/31]] can additionally be added as a representation of a single step, tempering out [[961/960|S31]] and [[1024/1023|S32]].

9ed4/3 has good approximations of [[5/4]] and [[11/10]] (the latter from [[3ed4/3]]) and their fourth-complements [[16/15]] and [[40/33]]. Treated as a 4/3.5/4.11/8 temperament, it tempers out the commas [[4000/3993]] and [[5632/5625]], a structure that is identical to [[Escapade family#2.3.5.11 subgroup|escapade]]. [[32/31]] can additionally be added as a representation of a single step, tempering out [[961/960|S31]] and [[1024/1023|S32]].

All ratios in the below table are in the 88-integer-limit.

All ratios in the below table are in the 88-integer-limit and in the 4/3.5/4.11/8.31/24 [[subgroup]].

{| class="wikitable sortable center-1 right-2"

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}}

~~-----~~

== References ==

~~[http:~~/~~/launch.groups.yahoo.com/group/tuning/message/100326 This topic is under discussion...]~~

[[Category:~~edonoi]][[Category:nonoctave~~]]

[[Category:Nonoctave]]

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 {{Infobox ET|9ed4/3}}
-'''9ed4/3''', also known as '''Noleta''', is a tuning system based on the division of the [[perfect fourth]] (4/3) into 9 equal parts, each 55.3383 [[cent]]s in size; this corresponds to 21.6848[[edo]], or approximately to every three steps of [[65edo]]. The name ‘Noleta’ seems to be coined by [[Ron Sword]]: [http://www.nonoctave.com/forum/messages/9197.html?n=12 Nonoctave.com: Messages: 9197]
+'''9ed4/3''', also known as '''Noleta''', is a tuning system based on the division of the [[perfect fourth]] (4/3) into 9 equal parts, each 55.3383 [[cent]]s in size; this corresponds to 21.6848[[edo]], or approximately to every three steps of [[65edo]]. The name ‘Noleta’ seems to be coined by [[Ron Sword]]<ref>[http://www.nonoctave.com/forum/messages/9197.html?n=12 Nonoctave.com: Messages: 9197]{{dead link}}</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100326.html Some Mysterious Scales] on [[Yahoo Groups tuning lists]]</ref><ref>[https://www.facebook.com/groups/2229924481/?multi_permalinks=10150273357164482 Ron Sword's reply on Facebook (archived group)]</ref>.
 Regular temperaments that divide 4/3 into 9 equal parts include:
@@ Line 14: / Line 14: @@
 == Intervals ==
-ed4/3 has good approximations of [[5/4]] and [[11/10]] (the latter from [[3ed4/3]]) and their fourth-complements [[16/15]] and [[40/33]]. Treated as a 4/3.5/4.11/8 temperament, it tempers out the commas [[4000/3993]] and [[5632/5625]], a structure that is identical to [[escapade]]. [[32/31]] can additionally be added as a representation of a single step, tempering out [[961/960|S31]] and [[1024/1023|S32]].
+ed4/3 has good approximations of [[5/4]] and [[11/10]] (the latter from [[3ed4/3]]) and their fourth-complements [[16/15]] and [[40/33]]. Treated as a 4/3.5/4.11/8 temperament, it tempers out the commas [[4000/3993]] and [[5632/5625]], a structure that is identical to [[Escapade family#2.3.5.11 subgroup|escapade]]. [[32/31]] can additionally be added as a representation of a single step, tempering out [[961/960|S31]] and [[1024/1023|S32]].
-All ratios in the below table are in the 88-integer-limit.
+All ratios in the below table are in the 88-integer-limit and in the 4/3.5/4.11/8.31/24 [[subgroup]].
 {| class="wikitable sortable center-1 right-2"
@@ Line 78: / Line 78: @@
 }}
------
+== References ==
-[http://launch.groups.yahoo.com/group/tuning/message/100326 This topic is under discussion...]
+<references/>
-[[Category:edonoi]][[Category:nonoctave]]
+[[Category:Nonoctave]]