Porcusmine: Difference between revisions

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'''Porcusmine''' is a ~~[[Maximum variety|max-variety-4]] or max-variety-3,~~ [[generator-offset]] scale with step pattern 4L 3M 1s. It is equivalent to the [[porcupine]] ([[7L 1s]]) mos with 4 of the large steps made bigger and the other 3 made smaller, or to the smitonic ([[4L 3s]]) with an extra-small step added. ~~Porcusmine~~ is not [[chiral]]. [[19edo]] is the smallest edo to support a non-degenerate porcusmine.

'''Porcusmine''' is a [[generator-offset]] scale with step pattern 4L 3M 1s. It is equivalent to the [[porcupine]] ([[7L 1s]]) mos with 4 of the large steps made bigger and the other 3 made smaller, or to the smitonic ([[4L 3s]]) with an extra-small step added. It is not [[chiral]] and it has [[Maximum variety|maximum variety 3]] for certain tunings only (otherwise it has maximum variety 4 in general). [[19edo]] is the smallest edo to support a non-degenerate porcusmine.

Porcusmine can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[10/9]], M represents [[27/25]], and s represents [[25/24]].

"Porcusmine" is a name given by [[User:CellularAutomaton|cellularAutomaton]], who discovered it as a detempering of porcupine. The name is a portmanteau of "porcupine" and "smitonic", since its step sizes are intermediate between those of the 8-note porcupine and 7-note smitonic mosses. It was also later called the [[The Pinetone System#Pinetone diminished octatonic|Pinetone diminished octatonic]] when independently discovered by [[~~User:Lhearne|Lhearne~~]]. Similar Porcupine[8] detemperings have also been [[Kite_Guitar_Translations_by_Kite_Giedraitis#Couples_Therapy_.28Jacob_Barton.2C_microtonal.29|discussed]] by [[Kite Giedraitis]] as well as by ~~[[User:Lhearne|Lhearne]]~~.

"Porcusmine" is a name given by [[User:CellularAutomaton|cellularAutomaton]], who discovered it as a detempering of porcupine. The name is a portmanteau of "porcupine" and "smitonic", since its step sizes are intermediate between those of the 8-note porcupine and 7-note smitonic mosses. It was also later called the [[The Pinetone System#Pinetone diminished octatonic|Pinetone diminished octatonic]] when independently discovered by [[Lillian Hearne]]. Similar Porcupine[8] detemperings have also been [[Kite_Guitar_Translations_by_Kite_Giedraitis#Couples_Therapy_.28Jacob_Barton.2C_microtonal.29|discussed]] by [[Kite Giedraitis]] as well as by Lillian Hearne.

== Modes ==

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-'''Porcusmine''' is a [[Maximum variety|max-variety-4]] or max-variety-3, [[generator-offset]] scale with step pattern 4L 3M 1s. It is equivalent to the [[porcupine]] ([[7L 1s]]) mos with 4 of the large steps made bigger and the other 3 made smaller, or to the smitonic ([[4L 3s]]) with an extra-small step added. Porcusmine is not [[chiral]]. [[19edo]] is the smallest edo to support a non-degenerate porcusmine.
+'''Porcusmine''' is a [[generator-offset]] scale with step pattern 4L 3M 1s. It is equivalent to the [[porcupine]] ([[7L 1s]]) mos with 4 of the large steps made bigger and the other 3 made smaller, or to the smitonic ([[4L 3s]]) with an extra-small step added. It is not [[chiral]] and it has [[Maximum variety|maximum variety 3]] for certain tunings only (otherwise it has maximum variety 4 in general). [[19edo]] is the smallest edo to support a non-degenerate porcusmine.
 Porcusmine can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[10/9]], M represents [[27/25]], and s represents [[25/24]].
-"Porcusmine" is a name given by [[User:CellularAutomaton|cellularAutomaton]], who discovered it as a detempering of porcupine. The name is a portmanteau of "porcupine" and "smitonic", since its step sizes are intermediate between those of the 8-note porcupine and 7-note smitonic mosses. It was also later called the [[The Pinetone System#Pinetone diminished octatonic|Pinetone diminished octatonic]] when independently discovered by [[User:Lhearne|Lhearne]]. Similar Porcupine[8] detemperings have also been [[Kite_Guitar_Translations_by_Kite_Giedraitis#Couples_Therapy_.28Jacob_Barton.2C_microtonal.29|discussed]] by [[Kite Giedraitis]] as well as by [[User:Lhearne|Lhearne]].
+"Porcusmine" is a name given by [[User:CellularAutomaton|cellularAutomaton]], who discovered it as a detempering of porcupine. The name is a portmanteau of "porcupine" and "smitonic", since its step sizes are intermediate between those of the 8-note porcupine and 7-note smitonic mosses. It was also later called the [[The Pinetone System#Pinetone diminished octatonic|Pinetone diminished octatonic]] when independently discovered by [[Lillian Hearne]]. Similar Porcupine[8] detemperings have also been [[Kite_Guitar_Translations_by_Kite_Giedraitis#Couples_Therapy_.28Jacob_Barton.2C_microtonal.29|discussed]] by [[Kite Giedraitis]] as well as by Lillian Hearne.
 == Modes ==