Octoid: Difference between revisions

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| Mapping = 8; 3 4 5 3

| Generators = 7/5

| Generators tuning = 583.~~948~~

| Generators tuning = 583.9

| Optimization method = CWE

| MOS scales = [[8L 64s]], [[72L 8s]]

| Pergen = (P8/8, P4/3)

~~| Color name =~~

| Odd limit 1 = 11 | Mistuning 1 = 1.29 | Complexity 1 = 56

| Odd limit 1 = 11 | Mistuning 1 = 1.~~286~~ | Complexity 1 = 56

| Odd limit 2 = 11-limit 15 | Mistuning 2 = 1.47 | Complexity 2 = 64

| Odd limit 2 = 11-limit 15 | Mistuning 2 = 1.~~473~~ | Complexity 2 = 64

}}

'''Octoid''' is a [[regular temperament]] which takes a [[period]] of ~~[[8edo|~~1/8 octave]], which represents [[12/11]], and adds a single [[generator]] which represents [[6/5]], [[7/5]], [[9/7]] or [[11/10]]. It [[tempering out|tempers out]] [[4375/4374]] and [[16875/16807]] in the 7-limit, and [[540/539]], [[1375/1372]], and [[4000/3993]] in the 11-limit.

'''Octoid''' is a [[regular temperament|temperament]] which takes a [[period]] of 1/8 octave, which represents [[12/11]], and adds a single [[generator]] which represents [[6/5]], [[7/5]], [[9/7]] or [[11/10]]. It [[tempering out|tempers out]] [[4375/4374]] and [[16875/16807]] in the 7-limit, and [[540/539]], [[1375/1372]], and [[4000/3993]] in the 11-limit.

There are some extensions for the 13-limit including tridecimal octoid {{nowrap|(72 & 224)}} and octopus {{nowrap|(72 & 80)}}.

See [[~~Ragismic microtemperaments~~ #Octoid]] for technical details.

See [[Stearnsmic clan #Octoid]] for technical details.

== Interval chain ==

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[[Category:Rank-2 temperaments]]

[[Category:Ragismic microtemperaments]]

[[Category:~~Mirkwai~~ clan]]

[[Category:Canopic clan]]

[[Category:Stearnsmic clan]]

@@ Line 6: / Line 6: @@
 | Mapping = 8; 3 4 5 3
 | Generators = 7/5
-| Generators tuning = 583.948
+| Generators tuning = 583.9
 | Optimization method = CWE
 | MOS scales = [[8L&nbsp;64s]], [[72L&nbsp;8s]]
 | Pergen = (P8/8, P4/3)
-| Color name =
+| Odd limit 1 = 11 | Mistuning 1 = 1.29 | Complexity 1 = 56
-| Odd limit 1 = 11 | Mistuning 1 = 1.286 | Complexity 1 = 56
+| Odd limit 2 = 11-limit 15 | Mistuning 2 = 1.47 | Complexity 2 = 64
-| Odd limit 2 = 11-limit 15 | Mistuning 2 = 1.473 | Complexity 2 = 64
 }}
-'''Octoid''' is a [[regular temperament]] which takes a [[period]] of [[8edo|1/8 octave]], which represents [[12/11]], and adds a single [[generator]] which represents [[6/5]], [[7/5]], [[9/7]] or [[11/10]]. It [[tempering out|tempers out]] [[4375/4374]] and [[16875/16807]] in the 7-limit, and [[540/539]], [[1375/1372]], and [[4000/3993]] in the 11-limit.
+'''Octoid''' is a [[regular temperament|temperament]] which takes a [[period]] of 1/8 octave, which represents [[12/11]], and adds a single [[generator]] which represents [[6/5]], [[7/5]], [[9/7]] or [[11/10]]. It [[tempering out|tempers out]] [[4375/4374]] and [[16875/16807]] in the 7-limit, and [[540/539]], [[1375/1372]], and [[4000/3993]] in the 11-limit.
 There are some extensions for the 13-limit including tridecimal octoid {{nowrap|(72 & 224)}} and octopus {{nowrap|(72 & 80)}}.
-See [[Ragismic microtemperaments #Octoid]] for technical details.
+See [[Stearnsmic clan #Octoid]] for technical details.
 == Interval chain ==
@@ Line 381: / Line 380: @@
 [[Category:Rank-2 temperaments]]
 [[Category:Ragismic microtemperaments]]
-[[Category:Mirkwai clan]]
+[[Category:Canopic clan]]
 [[Category:Stearnsmic clan]]