Survey of efficient temperaments by subgroup: Difference between revisions

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| [[lemba]]+, [[hedgehog]]+
| [[lemba]]+, [[hedgehog]]+
| [[nusecond]]+, [[crepuscular]], [[winston]]+, [[pajara]], [[negroni]]+, [[sensis]]+, [[ringo]]+, [[pajarous]], [[augene]]+
| [[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)
! 19-limit <br>(2.3.5.7.11.13.17.19)
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| [[niner]]++
| [[niner]]++
| [[wilsec]], [[winston]]++, [[augene]]++, [[sensis]]++
| [[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
! Higher prime limits
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=== Other subgroups ===
=== Other subgroups ===
Subgroups ''without'' a "2" ''don't have'' multiple of 2 intervals (eg the 2/1 octave, the 3/2 perfect fifth, the 5/4 major third).
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 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.
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! JI subgroup
! JI subgroup
! ~10 notes per equave<ref group="note">Number of notes per equave was estimated by multiplying the temperament’s [[graham complexity]] by 2.</ref>
! ~10 notes per equave
! ~20 notes
! ~20 notes
! ~30 notes
! ~30 notes
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! 7-limit <br>(2.3.5.7)
! 7-limit <br>(2.3.5.7)
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
| [[hendecatonic]]
| [[hendecatonic (temperament)|hendecatonic]]
| [[sesquiquartififths]], [[quinmite]], [[parakleismic]]
| [[sesquiquartififths]], [[quinmite]], [[parakleismic]]
| [[neptune]], [[gamera]], [[nessafof]], [[octoid]], [[septiquarter]]
| [[neptune]], [[gamera]], [[nessafof]], [[octoid]], [[septiquarter]]