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Created page with "<pre>Table entry format: * Temperament name (clumsy note count, badness to 2 sig fig - copied from wiki temperament pages) (!) Indicates a temperament was manually moved..."
 
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<pre>Table entry format:
<pre>
* Temperament name (clumsy note count, [[badness]] to 2 sig fig - copied from wiki temperament pages)
List entry format:
* Temperament name (1.5 x [[graham complexity]], 2 x graham complexity, [[badness]] to 2 sig fig - copied from wiki temperament pages)




(!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count was too inaccurate.
How to calculate graham complexity:
1. Subtract the smallest number in the second row of the temperament's mapping, from the largest
2. Multiply the result by the number of periods per equave




How to calculate 'clumsy note count':
''To-do: Re-sort the temperaments in each clump by [[damage]], instead of by badness.''
# Subtract the smallest number in the second row of the temperament's mapping, from the largest
# Multiply the result by (1 + the number of periods per equave)




Disclaimer about 'clumsy note count':
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.




''To-do: Re-sort the temperaments in each sell by [[damage]], instead of by badness.''
(!!!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count gave a very strange result.




5LIM
 
 
== 5LIM ==


~10 NOTES/EQUAVE
~10 NOTES/EQUAVE
* [[Meantone]] (8, 0.0074)
* [[Meantone]] (6, 8, 0.0074)
* [[Hanson]] (12, 0.013)
* [[Hanson]] (9, 12, 0.013)
* [[Augmented]] (4, 0.022)
* [[Augmented]] (4.5, 6, 0.022)
* [[Porcupine]] (10, 0.031)
* [[Porcupine]] (7.5, 10, 0.031)
* [[Magic]] (10, 0.039)
* [[Magic]] (7.5, 10, 0.039)
* [[Mavila]] (6, 0.040)
* [[Mavila]] (6, 8, 0.040)
* [[Orson]] (14, 0.041)
* [[Dimipent]] (6, 8, 0.047)
* [[Dimipent]] (5, 0.047)
* [[Blackwood]] (7.5, 10, 0.064)
* [[Blackwood]] (6, 0.064)
* [[Negri]] (10.5, 14, 0.087)
* [[Negri]] (14, 0.087)
* [[Misty]] (7.5, 10, 0.11)
* [[Misty]] (12, 0.11)
* [[Whitewood]] (10.5, 14, 0.16)
* [[Whitewood]] (8, 0.16)


~20 NOTES/EQUAVE
~20 NOTES/EQUAVE
* [[Wuerschmidt]] (16, 0.041)
* [[Wuerschmidt]] (12, 16, 0.041)
* [[Helmholtz]] (16, 0.0043)
* [[Orson]] (15, 20, 0.041)
* [[Sensipent]] (18, 0.035)
* [[Helmholtz]] (12, 16, 0.0043)
* [[Diaschismic]] (16, 0.038)
* [[Sensipent]] (13.5, 18, 0.035)
* [[Tetracot]] (18, 0.049)
* [[Diaschismic]] (12, 16, 0.038)
* [[Compton]] (13, 0.094) (!)
* [[Tetracot]] (13.5, 18, 0.049)
* [[Valentine]] (18, 0.12)
* [[Compton]] (18, 24, 0.094)
* [[Valentine]] (13.5, 18, 0.12)
* [[Superpyth]] (18, 0.14)
* [[Superpyth]] (18, 0.14)
* [[Ripple]] (16, 0.14)
* [[Ripple]] (12, 16, 0.14)
* [[Passion]] (18, 0.17)
* [[Passion]] (13.5, 18, 0.17)


~30 NOTES/EQUAVE
~30 NOTES/EQUAVE
* [[Kwazy]] (26, 0.014)
* [[Kwazy]] (19.5, 26, 0.014)
* [[Luna]] (30, 0.021)
* [[Luna]] (22.5, 30, 0.021)
* [[Amity]] (26, 0.022)
* [[Amity]] (19.5, 26, 0.022)
* [[Vishnu]] (14, 0.031) (!)
* [[Vishnu]] (10.5, 14, 0.031) (!!!)
* [[Ennealimmal]] (27, ??)
* [[Parakleismic]] (21, 28, 0.043)
* [[Parakleismic]] (28, 0.043)
* [[Gravity]] (25.5, 34, 0.093)
* [[Gravity]] (34, 0.093)


~40 NOTES/EQUAVE
~40 NOTES/EQUAVE


~50 NOTES/EQUAVE
~50 NOTES/EQUAVE
* [[Ennealimmal]] (40.5, 54, ??)


>60 NOTES/EQUAVE
>60 NOTES/EQUAVE
* [[Minortone]] (70, 0.030)
* [[Minortone]] (52.5, 70, 0.030)








7LIM
== 7LIM ==


~10 NOTES/EQUAVE
~10 NOTES/EQUAVE
* [[Pajara]] (6, 0.020)
* [[Pajara]] (4, 6, 0.020)
* [[Dominant]] (4, 0.021)
* [[Dominant]] (4, 0.021)
* [[Diminished]] (5, 0.022)
* [[Diminished]] (5, 0.022)
Line 86: Line 87:


~20 NOTES/EQUAVE
~20 NOTES/EQUAVE
* [[Meantone]] (20, 0.014)
* [[Meantone]] (15, 20, 0.014)
* [[Magic]] (24, 0.019)
* [[Magic]] (18, 24, 0.019)
* [[Orwell]] (22, 0.021)
* [[Orwell]] (16.5, 22, 0.021)
* [[Myna]] (20, 0.027)
* [[Myna]] (15, 20, 0.027)
* [[Godzilla]] (16, 0.027)
* [[Godzilla]] (12, 16, 0.027)
* [[Valentine]] (24, 0.031)
* [[Valentine]] (18, 24, 0.031)
* [[Superpyth]] (18, 0.032)
* [[Superpyth]] (13.5, 18, 0.032)
* [[Mothra]] (24, 0.037)
* [[Mothra]] (18, 24, 0.037)
* [[Diaschismic]] (18, 0.038)
* [[Diaschismic]] (18, 0.038)******
* [[Flattone]] (18, 0.039)
* [[Flattone]] (13.5, 18, 0.039)
* [[Hedgehog]] (15, 0.044)
* [[Hedgehog]] (15, 0.044)******
* [[Beatles]] (18, 0.046)
* [[Beatles]] (13.5, 18, 0.046)
* [[Liese]] (22, 0.047)
* [[Liese]] (16.5, 22, 0.047)
* [[Catler]] (13, 0.050) (!)
* [[Catler]] (18, 24, 0.050) (!)
* [[Triforce]] (16, 0.055)
* [[Triforce]] (16, 0.055)******
* [[Nautilus]] (20, 0.057)
* [[Nautilus]] (15, 20, 0.057)
* [[Schism]] (16, 0.057)
* [[Schism]] (12, 16, 0.057)


~30 NOTES/EQUAVE
~30 NOTES/EQUAVE
* [[Ennealimmal]] (30, 0.0036)
* [[Miracle]] (19.5, 26, 0.017)
* [[Miracle]] (26, 0.017)
* [[Hemiwuerschmidt]] (24, 32, 0.020)
* [[Hemiwuerschmidt]] (32, 0.020)
* [[Garibaldi]] (22.5, 30, 0.022)
* [[Garibaldi]] (30, 0.022)
* [[Amity]] (25.5, 34, 0.024)
* [[Amity]] (34, 0.024)
* [[Sensi]] (19.5, 26, 0.026)
* [[Sensi]] (26, 0.026)
* [[Harry]] (25.5, 34, 0.034)
* [[Harry]] (34, 0.034)
* [[Unidec]] (33, 0.038)


~40 NOTES/EQUAVE
~40 NOTES/EQUAVE
* [[Catakleismic]] (44, 0.022)
* [[Catakleismic]] (33, 44, 0.022)
* [[Misty]] (40, 0.037)
* [[Misty]] (30, 40, 0.037)


~50 NOTES/EQUAVE
~50 NOTES/EQUAVE
* [[Tertiaseptal]] (54, 0.013)
* [[Ennealimmal]] (40.5, 54, 0.0036)
* [[Hemififths]] (50, 0.022)
* [[Tertiaseptal]] (40.5, 54, 0.013)
* [[Hemififths]] (37.5, 50, 0.022)
* [[Unidec]] (33, 44 0.038)


>60 NOTES/EQUAVE
>60 NOTES/EQUAVE
* [[Enneadecal]] (60, 0.011)
* [[Enneadecal]] (85.5, 114, 0.011)
* [[Ragismic_microtemperaments#Supermajor|Supermajor]] (150, 0.011)
* [[Ragismic_microtemperaments#Supermajor|Supermajor]] (112.5, 150, 0.011)
* [[Seqsquiquartififths]] (72, 0.011)
* [[Seqsquiquartififths]] (54, 72, 0.011)
* [[Pontiac]] (94, 0.014)
* [[Pontiac]] (70.5, 94, 0.014)
* [[Parakleismic]] (70, 0.027)
* [[Parakleismic]] (52.5, 70, 0.027)
 
* [[Trinity]] (151.5, 202, 0.12)
 
 








| [[ennealimmal]], [[amity]], [[harry]], [[hemififths]], [[parakleismic]], [[misty]], [[unidec]]
| [[Ragismic_microtemperaments#Supermajor|supermajor]], [[enneadecal]], [[sesquiquartififths]], [[pontiac]], [[tertiaseptal]], [[trinity]]
|-
|-
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
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