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| <pre>Table entry format:
| | '''This is a working out sandbox page, not a content page.''' |
| * Temperament name (clumsy note count, [[badness]] to 2 sig fig - copied from wiki temperament pages)
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| (!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count was too inaccurate.
| | == Sandbox == |
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| | {{Harmonics in cet|33.547|columns=13|intervals=prime}} |
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| | {{Harmonics in cet|33.426|columns=13|intervals=prime}} |
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| How to calculate 'clumsy note count':
| | {{Harmonics in cet|33.368|columns=13|intervals=prime}} |
| # Subtract the smallest number in the second row of the temperament's mapping, from the largest
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| # Multiply the result by (1 + the number of periods per equave)
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| | {{Harmonics in cet|33.361|columns=13|intervals=prime}} |
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| Disclaimer about 'clumsy note count':
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| This should not be taken as the exact number of notes you should generate with a temperament. It is just a general ballpark figure, with an error of plus or minus 10 or so in either direction. The best 'exact' numbers of notes per equave for a temperament are given by the [[MOS scale]]s it generates.
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| | . |
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| ''To-do: Re-sort the temperaments in each sell by [[damage]], instead of by badness.''
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| | . |
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| 5LIM
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| ~10 NOTES/EQUAVE
| | {{Harmonics in cet|33.333|columns=13|intervals=prime}} |
| * [[Meantone]] (8, 0.0074)
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| * [[Hanson]] (12, 0.013)
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| * [[Augmented]] (4, 0.022)
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| * [[Porcupine]] (10, 0.031)
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| * [[Magic]] (10, 0.039)
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| * [[Mavila]] (6, 0.040)
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| * [[Orson]] (14, 0.041)
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| * [[Dimipent]] (5, 0.047)
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| * [[Blackwood]] (6, 0.064)
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| * [[Negri]] (14, 0.087)
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| * [[Misty]] (12, 0.11)
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| * [[Whitewood]] (8, 0.16)
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| ~20 NOTES/EQUAVE
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| * [[Wuerschmidt]] (16, 0.041)
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| * [[Helmholtz]] (16, 0.0043)
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| * [[Sensipent]] (18, 0.035)
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| * [[Diaschismic]] (16, 0.038)
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| * [[Tetracot]] (18, 0.049)
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| * [[Compton]] (13, 0.094) (!)
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| * [[Valentine]] (18, 0.12)
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| * [[Superpyth]] (18, 0.14)
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| * [[Ripple]] (16, 0.14)
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| * [[Passion]] (18, 0.17)
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| ~30 NOTES/EQUAVE
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| * [[Kwazy]] (26, 0.014)
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| * [[Luna]] (30, 0.021)
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| * [[Amity]] (26, 0.022)
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| * [[Vishnu]] (14, 0.031) (!)
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| * [[Ennealimmal]] (27, ??)
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| * [[Parakleismic]] (28, 0.043)
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| * [[Gravity]] (34, 0.093)
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| ~40 NOTES/EQUAVE
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| ~50 NOTES/EQUAVE
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| >60 NOTES/EQUAVE
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| * [[Minortone]] (70, 0.030)
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| | {{Harmonics in cet|33.302|columns=13|intervals=prime}} |
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| | {{Harmonics in cet|33.286|columns=13|intervals=prime}} |
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| | {{Harmonics in cet|33.152|columns=13|intervals=prime}} |
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| 7LIM
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| ~10 NOTES/EQUAVE
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| * [[Pajara]] (6, 0.020)
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| * [[Dominant]] (4, 0.021)
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| * [[Diminished]] (5, 0.022)
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| * [[Augene]] (12, 0.025)
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| * [[Blacksmith]] (6, 0.026)
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| * [[August]] (8, 0.026)
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| * [[Negri]] (8, 0.026)
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| * [[Keemun]] (12, 0.027)
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| * [[Injera]] (12, 0.031)
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| * [[Opossum]] (18, 0.041) (!)
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| * [[Porcupine]] (12, 0.041)
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| * [[Doublewide]] (12, 0.043)
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| * [[Inflated]] (12, 0.055)
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| * [[Superpelog]] (12, 0.058)
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| * [[Lemba]] (9, 0.062)
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| * [[Shrutar]] (14, 0.19)
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| ~20 NOTES/EQUAVE
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| * [[Meantone]] (20, 0.014)
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| * [[Magic]] (24, 0.019)
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| * [[Orwell]] (22, 0.021)
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| * [[Myna]] (20, 0.027)
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| * [[Godzilla]] (16, 0.027)
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| * [[Valentine]] (24, 0.031)
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| * [[Superpyth]] (18, 0.032)
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| * [[Mothra]] (24, 0.037)
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| * [[Diaschismic]] (18, 0.038)
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| * [[Flattone]] (18, 0.039)
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| * [[Hedgehog]] (15, 0.044)
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| * [[Beatles]] (18, 0.046)
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| * [[Liese]] (22, 0.047)
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| * [[Catler]] (13, 0.050) (!)
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| * [[Triforce]] (16, 0.055)
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| * [[Nautilus]] (20, 0.057)
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| * [[Schism]] (16, 0.057)
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| ~30 NOTES/EQUAVE
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| * [[Ennealimmal]] (30, 0.0036)
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| * [[Miracle]] (26, 0.017)
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| * [[Hemiwuerschmidt]] (32, 0.020)
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| * [[Garibaldi]] (30, 0.022)
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| * [[Amity]] (34, 0.024)
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| * [[Sensi]] (26, 0.026)
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| * [[Harry]] (34, 0.034)
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| * [[Unidec]] (33, 0.038)
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| ~40 NOTES/EQUAVE
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| * [[Catakleismic]] (44, 0.022)
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| * [[Misty]] (40, 0.037)
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| ~50 NOTES/EQUAVE
| | {{Harmonics in equal|1|8|7 |columns=18}} |
| * [[Tertiaseptal]] (54, 0.013)
| | {{Harmonics in equal|1|9|8 |columns=18}} |
| * [[Hemififths]] (50, 0.022)
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| >60 NOTES/EQUAVE
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| * [[Enneadecal]] (60, 0.011)
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| * [[Ragismic_microtemperaments#Supermajor|Supermajor]] (150, 0.011)
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| * [[Seqsquiquartififths]] (72, 0.011)
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| * [[Pontiac]] (94, 0.014)
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| * [[Parakleismic]] (70, 0.027)
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| | {{Harmonics in equal|1|10|9 |columns=18}} |
| | {{Harmonics in equal|1|11|10 |columns=18}} |
| | {{Harmonics in equal|1|12|11 |columns=18}} |
| | {{Harmonics in equal|1|13|12 |columns=18}} |
| | {{Harmonics in equal|1|14|13 |columns=18}} |
| | {{Harmonics in equal|1|15|14 |columns=18}} |
| | {{Harmonics in equal|1|16|15 |columns=18}} |
| | {{Harmonics in equal|1|17|16 |columns=18}} |
| | {{Harmonics in equal|1|18|17 |columns=18}} |
| | {{Harmonics in equal|1|19|18 |columns=18}} |
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| | [[ennealimmal]], [[amity]], [[harry]], [[hemififths]], [[parakleismic]], [[misty]], [[unidec]]
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| | [[Ragismic_microtemperaments#Supermajor|supermajor]], [[enneadecal]], [[sesquiquartififths]], [[pontiac]], [[tertiaseptal]], [[trinity]]
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| |-
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| ! 11-limit <br>(2 . 3 . 5 . 7 . 11)
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| | [[superpelog]], [[blacksmith]], [[opossum]], [[pajaric]], [[august]]
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| | [[mohajira]], [[superpyth]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[porcupine]], [[negroni]], [[porky]], [[hedgehog]], [[fleetwood]], [[pajarous]], [[astrology]], [[vigintiduo]], [[augene]], [[sensis]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[flattone]], [[godzilla]], [[darjeeling]], [[keemun]], [[progress]], [[dominant]], [[triforce]], [[negric]], [[meanenneadecal]], [[duodecim]] | | |
| | [[hemiwuerschmidt]], [[miracle]], [[cassandra]], [[diaschismic]], [[valentine]], [[shrutar]], [[orwell]], [[magic]], [[meanpop]], [[migration]], [[nusecond]], [[andromeda]], [[mothra]], [[squares]], [[meantone]] | | {{Harmonics in equal|1|20|19 |columns=18}} |
| | [[unidec]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[hemiwuerschmidt]], [[ennealimnic]], [[hemithirds]], [[catakleismic]], [[wizard]] | | {{Harmonics in equal|1|21|20 |columns=18}} |
| | [[hemienneadecal]], [[hemiennealimmal]], [[ennealimmal]], [[vishnu]], [[quasiorwell]], [[trinity]] | | {{Harmonics in equal|1|22|21 |columns=18}} |
| |- | | {{Harmonics in equal|1|23|22 |columns=18}} |
| ! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
| | {{Harmonics in equal|1|24|23 |columns=18}} |
| | | | {{Harmonics in equal|1|25|24 |columns=18}} |
| | [[mohajira]], [[winston]], [[pajara]], [[undevigintone]], [[superpyth]], [[sensis]], [[negroni]], [[nautilus]], [[ogene]], [[ringo]], [[flattone]], [[injera]], [[augene]], [[darjeeling]], [[meanenneadecal]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negric]], [[negri]],[[Mavila_family#Armodue|armodue]], [[blacksmith]] | | {{Harmonics in equal|1|26|25 |columns=18}} |
| | [[cassandra]], [[diaschismic]], [[myna]], [[orwell]], [[shrutar]], [[miraculous]], [[sensus]], [[meanpop]], [[andromeda]], [[magic]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[meantone]] | | {{Harmonics in equal|1|27|26 |columns=18}} |
| | [[hemiwuerschmidt]], [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]], [[catakleismic]] | | {{Harmonics in equal|1|28|27 |columns=18}} |
| | [[semihemiennealimmal]], [[abigail]], [[ennealimmia]], [[decoid]], [[hemiennealimmal]], [[trinity]], [[enneadecal]], [[octoid]] | | {{Harmonics in equal|1|29|28 |columns=18}} |
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| ! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
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| | [[mohajira]], [[injera]], [[meanenneadecal]], [[pajara]] | | |
| | [[diaschismic]], [[echidna]], [[shrutar]], [[sensus]], [[miraculous]], [[andromeda]], [[modus]] | | |
| | [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]] | | . |
| | [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]] | | |
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| ! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
| | {{Harmonics in equal|1|30|29 |columns=18}} |
| | | | {{Harmonics in equal|1|31|30 |columns=18}} |
| | [[mohajira]], [[injera]], [[meanenneadecal]], [[marvolo]] | | {{Harmonics in equal|1|32|31 |columns=18}} |
| | [[shrutar]], [[andromeda]], [[modus]], [[hitchcock]] | | {{Harmonics in equal|1|33|32 |columns=18}} |
| | [[sqrtphi]], [[ketchup]] | | {{Harmonics in equal|1|34|33 |columns=18}} |
| | [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]] | | {{Harmonics in equal|1|35|34 |columns=18}} |
| |- | | {{Harmonics in equal|1|36|35 |columns=18}} |
| ! Higher prime limits
| | {{Harmonics in equal|1|37|36 |columns=18}} |
| | | | {{Harmonics in equal|1|38|37 |columns=18}} |
| | [[marvolo]] | | {{Harmonics in equal|1|39|38 |columns=18}} |
| | [[srutal]], [[shrutar]], [[hitchcock]] | | |
| | [[decistearn]], [[ketchup]] | | <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> |
| | [[trinity]], [[satin]] | | <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> |
| |- | | <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> |
| ! 2 . 3 . 5 . 7 . other n
| | <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> |
| | | | Page end. |
| | no-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]], [[negra]] | |
| | no-11 [[catakleismic]], no-11 [[cassandra]], [[unicorn]] | |
| | no-11 [[decoid]], no-11 [[hemischis]], no-11 [[tritikleismic]] | |
| | no-11 [[ennealimmal]] | |
| |- | |
| ! 2 . 3 . 5 . 11 <br>and its extensions
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| | [[mavila]] | |
| | [[sensible]], [[mohaha]], [[porkypine]] | |
| | [[tetracot]] | |
| | [[larry]] (2.3.5.11 [[gravity]]) | |
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| ! 2 . 3 . 5 . other n
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| | [[stützel]]
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| | [[nestoria]], [[cata]], [[sensipent]], [[srutal archagall]]
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| | [[wuerschmidt]] (2.3.5.23)
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| ! 2 . 3 . 7
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| | [[archy]], [[semaphore]] | |
| | [[bleu]] | |
| | [[slendric]] | |
| | no-5 [[hemififths]] | |
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| ! 2 . 3 . 7 . 11 <br>and its extensions
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| | [[semaphore]] | |
| | [[skwares]], [[bleu]], [[suhajira]], [[supra]] | |
| | no-5 [[miracle]], [[hemififths]], [[slendric]], [[radon]] | |
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| ! 2 . 3 . 7 . other n
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| | no-5 [[negra]] | |
| | [[baladic]] | |
| | [[oceanfront]] | |
| | [[hypnosis]] | |
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| ! 2 . 3 . 11 <br>and its extensions
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| | [[paralimmal]], [[huxley]], [[io]] | |
| | 2.3.11 [[pythrabian]], [[neutral]] (2.3.11 [[rastmic]]), [[namo]] | |
| | [[tribilo]] (2.3.11 [[nexus]]) | |
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| | 2.3.11 [[frameshift]] | |
| |- | |
| !2 . 3 . other n
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| | [[barbados]], [[superflat]], [[hydrothermal]], [[dog]] | |
| | [[threedic]], [[semitonic]] | |
| | [[boethian]], [[pepperoni]] | |
| | [[historical]] | |
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| ! 2 . 5 . 7 <br>and its extensions
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| | no-3 [[oodako]], no-3 [[pajara]] | |
| | [[didacus]], [[llywelyn]] | |
| | [[rainy]], [[mercy]], [[frostburn]], [[baldy]] | |
| | [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]] | |
| | [[ostara]] | |
| |- | |
| ! 2 . 5 . other n
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| | [[movila]] | |
| | [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[trader]] | |
| | [[insect]], [[sulis]]
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| ! 2 . 7 <br>and its extensions
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| | [[ultrakleismic]], [[shipwreck]], [[mabon]], [[demon]], [[machine]]
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| | [[orgone]], [[counterultrakleismic]], [[machine|apparatus]]
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| | [[stacks]], [[machine|mechanism]]
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| ! 3 . 5 . 7 <br>and its extensions
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| | [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[vega]]
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| | [[mintra]] (3.5.7.11), [[dubhe]] (3.5.7.17)
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| | [[miaplacidus]], [[mintra]] (3.5.7.11.13)
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| | [[izar]], [[BPS|athena]]
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| |-
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| !3 . 5 . other n
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| | [[polaris]], [[aldebaran]]
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| | [[deneb]]
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| | [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]]
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| | [[alnilam]]
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| |-
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| ! 3 . 7 <br>and its extensions
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| | [[mintaka]] (3.7.11), [[keladic]]
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| | [[mintaka]] (3.7.11.13), [[minalzidar]]
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| | [[mebsuta]]
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| |-
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| ! 4 . n <br>and its extensions
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| | [[tetrameantone]], [[quarchy]]
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| | [[tetrahanson]], [[meanquad]]
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| | [[Subgroup temperaments#Fourwar|fourwar]]
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| |-
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| ! 5 . n <br>and its extensions
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| | [[juggernaut]]
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| | [[antipyth]]
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| |-
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| ! Other subgroups
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| | [[halftone]], [[semiwolf]], [[auk]]
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| | [[greeley]]
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| |}
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| </pre> | |