Survey of efficient temperaments by subgroup: Difference between revisions

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Line 84:

| [[lemba]]+, [[hedgehog]]+

| [[nusecond]]+, [[crepuscular]], [[winston]]+, [[pajara]], [[negroni]]+, [[sensis]]+, [[ringo]]+, [[pajarous]], [[augene]]+

| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[~~meantoid~~]], [[injera]], [[meanenneadecal]]

| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[fokkertone]]+, [[injera]], [[meanenneadecal]]

|-

! 19-limit <br>(2.3.5.7.11.13.17.19)

Line 90:

| [[niner]]++

| [[wilsec]], [[winston]]++, [[augene]]++, [[sensis]]++

| [[roman]]++, [[mohajira]], [[lupercalia]]++, [[superpyth]]++, [[negroni]]++, [[meanenneadecal]], [[ringo]]++, [[injera]], [[~~meantoid~~]]

| [[roman]]++, [[mohajira]], [[lupercalia]]++, [[superpyth]]++, [[negroni]]++, [[meanenneadecal]], [[ringo]]++, [[injera]], [[fokkertone]]++

|-

! Higher prime limits

Line 104:

Subgroups ''without'' a "3" ''don't have'' multiple of 3 intervals (eg the 3/1 perfect twelfth, the 3/2 perfect fifth, the 5/3 major sixth).

Subgroups ''without'' a "5" ''don't have'' multiple of 3 intervals (eg the 5/3 major sixth, the 5/4 major third, the 6/5 minor third).

Subgroups ''without'' a "5" ''don't have'' multiple of 5 intervals (eg the 5/3 major sixth, the 5/4 major third, the 6/5 minor third).

Subgroups ''with'' a "7", "11", or "other ''n''" include new [[xenharmonic]] consonant intervals that can't be found in common [[12edo]] tuning.

Line 239:

! 7-limit <br>(2.3.5.7)

| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]

| [[hendecatonic]]

| [[hendecatonic (temperament)|hendecatonic]]

| [[sesquiquartififths]], [[quinmite]], [[parakleismic]]

| [[neptune]], [[gamera]], [[nessafof]], [[octoid]], [[septiquarter]]

@@ Line 84: / Line 84: @@
 | [[lemba]]+, [[hedgehog]]+
 | [[nusecond]]+, [[crepuscular]], [[winston]]+, [[pajara]], [[negroni]]+, [[sensis]]+, [[ringo]]+, [[pajarous]], [[augene]]+
-| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[meantoid]], [[injera]], [[meanenneadecal]]
+| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[fokkertone]]+, [[injera]], [[meanenneadecal]]
 |-
 ! 19-limit <br>(2.3.5.7.11.13.17.19)
@@ Line 90: / Line 90: @@
 | [[niner]]++
 | [[wilsec]], [[winston]]++, [[augene]]++, [[sensis]]++
-| [[roman]]++, [[mohajira]], [[lupercalia]]++, [[superpyth]]++, [[negroni]]++, [[meanenneadecal]], [[ringo]]++, [[injera]], [[meantoid]]
+| [[roman]]++, [[mohajira]], [[lupercalia]]++, [[superpyth]]++, [[negroni]]++, [[meanenneadecal]], [[ringo]]++, [[injera]], [[fokkertone]]++
 |-
 ! Higher prime limits
@@ Line 104: / Line 104: @@
 Subgroups ''without'' a "3" ''don't have'' multiple of 3 intervals (eg the 3/1 perfect twelfth, the 3/2 perfect fifth, the 5/3 major sixth).
-Subgroups ''without'' a "5" ''don't have'' multiple of 3 intervals (eg the 5/3 major sixth, the 5/4 major third, the 6/5 minor third).
+Subgroups ''without'' a "5" ''don't have'' multiple of 5 intervals (eg the 5/3 major sixth, the 5/4 major third, the 6/5 minor third).
 Subgroups ''with'' a "7", "11", or "other ''n''" include new [[xenharmonic]] consonant intervals that can't be found in common [[12edo]] tuning.
@@ Line 239: / Line 239: @@
 ! 7-limit <br>(2.3.5.7)
 | [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
-| [[hendecatonic]]
+| [[hendecatonic (temperament)|hendecatonic]]
 | [[sesquiquartififths]], [[quinmite]], [[parakleismic]]
 | [[neptune]], [[gamera]], [[nessafof]], [[octoid]], [[septiquarter]]