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https://en.xen.wiki/w/User:BudjarnLambeth/Sandbox
'''This is a working out sandbox page, not a content page.'''


Remember, these are just my ugly, messy notes, and it will look much nicer on the finished page.


I'm only sharing these WIP notes so that everyone can see the numbers that I'm looking at.
== Sandbox ==
{{Harmonics in cet|33.547|columns=13|intervals=prime}}


So far, I have used 1.5 x graham complexity and 2 x graham complexity to assess every singe 5lim and 7lim temperament on the table.
{{Harmonics in cet|33.426|columns=13|intervals=prime}}


{{Harmonics in cet|33.368|columns=13|intervals=prime}}


{{Harmonics in cet|33.361|columns=13|intervals=prime}}




.




.


<pre>
List entry format:
* Temperament name (1.5 x [[graham complexity]], 2 x graham complexity, [[badness]] to 2 sig fig - copied from wiki temperament pages)


{{Harmonics in cet|33.333|columns=13|intervals=prime}}


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


.


''To-do: Re-sort the temperaments in each clump by [[damage]], instead of by badness.''


.




{{Harmonics in cet|33.302|columns=13|intervals=prime}}


(!!!!!!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count gave a very strange result.
{{Harmonics in cet|33.286|columns=13|intervals=prime}}


(^^^) Indicates temperament that would move to a lower section if 1.5x was used instead of 2x
{{Harmonics in cet|33.152|columns=13|intervals=prime}}




.




== 5LIM ==
.


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


~20 NOTES/EQUAVE
{{Harmonics in equal|1|8|7 |columns=18}}
* [[Wuerschmidt]] (12, 16, 0.041) (^^^)
{{Harmonics in equal|1|9|8 |columns=18}}
* [[Orson]] (15, 20, 0.041)
* [[Helmholtz]] (12, 16, 0.0043) (^^^)
* [[Sensipent]] (13.5, 18, 0.035) (^^^)
* [[Diaschismic]] (12, 16, 0.038) (^^^)
* [[Tetracot]] (13.5, 18, 0.049) (^^^)
* [[Compton]] (18, 24, 0.094)
* [[Valentine]] (13.5, 18, 0.12) (^^^)
* [[Superpyth]] (13.5, 18, 0.14) (^^^)
* [[Ripple]] (12, 16, 0.14) (^^^)
* [[Passion]] (13.5, 18, 0.17) (^^^)


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


~40 NOTES/EQUAVE
.


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


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




{{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}}




== 7LIM ==
.


~10 NOTES/EQUAVE
* [[Pajara]] (6, 8, 0.020)
* [[Dominant]] (3, 4, 0.021)
* [[Diminished]] (6, 8, 0.022)
* [[Blacksmith]] (7.5, 10, 0.026)
* [[August]] (9, 12, 0.026)
* [[Negri]] (6, 8, 0.026)
* [[Keemun]] (9, 12, 0.027)
* [[Injera]] (9, 12, 0.031)
* [[Porcupine]] (9, 12, 0.041)
* [[Doublewide]] (9, 12, 0.043)
* [[Inflated]] (9, 12, 0.055)
* [[Superpelog]] (9, 12, 0.058)
* [[Shrutar]] (14, 0.19)


~20 NOTES/EQUAVE
.
* [[Meantone]] (15, 20, 0.014)
* [[Magic]] (18, 24, 0.019)
* [[Orwell]] (16.5, 22, 0.021)
* [[Augene]] (13.5, 18, 0.025) (^^^)
* [[Myna]] (15, 20, 0.027)
* [[Godzilla]] (12, 16, 0.027) (^^^)
* [[Valentine]] (18, 24, 0.031)
* [[Superpyth]] (13.5, 18, 0.032) (^^^)
* [[Mothra]] (18, 24, 0.037)
* [[Flattone]] (13.5, 18, 0.039) (^^^)
* [[Opossum]] (13.5, 18, 0.041) (^^^)
* [[Hedgehog]] (15, 20, 0.044)
* [[Beatles]] (13.5, 18, 0.046) (^^^)
* [[Liese]] (16.5, 22, 0.047)
* [[Catler]] (18, 24, 0.050)
* [[Triforce]] (13.5, 18, 0.055) (^^^)
* [[Nautilus]] (15, 20, 0.057)
* [[Schism]] (12, 16, 0.057) (^^^)
* [[Lemba]] (12, 16, 0.062) (^^^)


~30 NOTES/EQUAVE
* [[Miracle]] (19.5, 26, 0.017) (^^^)
* [[Hemiwuerschmidt]] (24, 32, 0.020) (^^^)
* [[Garibaldi]] (22.5, 30, 0.022) (^^^)
* [[Amity]] (25.5, 34, 0.024)
* [[Sensi]] (19.5, 26, 0.026) (^^^)
* [[Harry]] (25.5, 34, 0.034)
* [[Diaschismic]] (27, 36, 0.038)


~40 NOTES/EQUAVE
{{Harmonics in equal|1|20|19 |columns=18}}
* [[Catakleismic]] (33, 44, 0.022) (^^^)
{{Harmonics in equal|1|21|20 |columns=18}}
* [[Misty]] (30, 40, 0.037) (^^^)
{{Harmonics in equal|1|22|21 |columns=18}}
* [[Unidec]] (33, 44 0.038) (^^^)
{{Harmonics in equal|1|23|22 |columns=18}}
{{Harmonics in equal|1|24|23 |columns=18}}
{{Harmonics in equal|1|25|24 |columns=18}}
{{Harmonics in equal|1|26|25 |columns=18}}
{{Harmonics in equal|1|27|26 |columns=18}}
{{Harmonics in equal|1|28|27 |columns=18}}
{{Harmonics in equal|1|29|28 |columns=18}}


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


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




.




|-
{{Harmonics in equal|1|30|29 |columns=18}}
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
{{Harmonics in equal|1|31|30 |columns=18}}
| [[superpelog]], [[blacksmith]], [[opossum]], [[pajaric]], [[august]]
{{Harmonics in equal|1|32|31 |columns=18}}
| [[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]]
{{Harmonics in equal|1|33|32 |columns=18}}
| [[hemiwuerschmidt]], [[miracle]], [[cassandra]], [[diaschismic]], [[valentine]], [[shrutar]], [[orwell]], [[magic]], [[meanpop]], [[migration]], [[nusecond]], [[andromeda]], [[mothra]], [[squares]], [[meantone]]
{{Harmonics in equal|1|34|33 |columns=18}}
| [[unidec]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[hemiwuerschmidt]], [[ennealimnic]], [[hemithirds]], [[catakleismic]], [[wizard]]
{{Harmonics in equal|1|35|34 |columns=18}}
| [[hemienneadecal]], [[hemiennealimmal]], [[ennealimmal]], [[vishnu]], [[quasiorwell]], [[trinity]]
{{Harmonics in equal|1|36|35 |columns=18}}
|-
{{Harmonics in equal|1|37|36 |columns=18}}
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
{{Harmonics in equal|1|38|37 |columns=18}}
|  
{{Harmonics in equal|1|39|38 |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]]
 
| [[cassandra]], [[diaschismic]], [[myna]], [[orwell]], [[shrutar]], [[miraculous]], [[sensus]], [[meanpop]], [[andromeda]], [[magic]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[meantone]]
<br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br>
| [[hemiwuerschmidt]], [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]], [[catakleismic]]
<br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br> <br>
| [[semihemiennealimmal]], [[abigail]], [[ennealimmia]], [[decoid]], [[hemiennealimmal]], [[trinity]], [[enneadecal]], [[octoid]]
<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>
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
Page end.
|  
| [[mohajira]], [[injera]], [[meanenneadecal]], [[pajara]]
| [[diaschismic]], [[echidna]], [[shrutar]], [[sensus]], [[miraculous]], [[andromeda]], [[modus]]
| [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]]
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
|  
| [[mohajira]], [[injera]], [[meanenneadecal]], [[marvolo]]
| [[shrutar]], [[andromeda]], [[modus]], [[hitchcock]]
| [[sqrtphi]], [[ketchup]]
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
|-
! Higher prime limits
|  
| [[marvolo]]
| [[srutal]], [[shrutar]], [[hitchcock]]
| [[decistearn]], [[ketchup]]
| [[trinity]], [[satin]]
|-
! 2 . 3 . 5 . 7 . other n
|  
| 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
| [[mavila]]
| [[sensible]], [[mohaha]], [[porkypine]]
| [[tetracot]]
| [[larry]] (2.3.5.11 [[gravity]])
|
|-
! 2 . 3 . 5 . other n
| [[stützel]]
| [[nestoria]], [[cata]], [[sensipent]], [[srutal archagall]]
| [[wuerschmidt]] (2.3.5.23)
|
|
|-
! 2 . 3 . 7
| [[archy]], [[semaphore]]
| [[bleu]]
| [[slendric]]
| no-5 [[hemififths]]
|
|-
! 2 . 3 . 7 . 11 <br>and its extensions
| [[semaphore]]
| [[skwares]], [[bleu]], [[suhajira]], [[supra]]
| no-5 [[miracle]], [[hemififths]], [[slendric]], [[radon]]
|
|
|-
! 2 . 3 . 7 . other n
| no-5 [[negra]]
| [[baladic]]
| [[oceanfront]]
| [[hypnosis]]
|
|-
! 2 . 3 . 11 <br>and its extensions
| [[paralimmal]], [[huxley]], [[io]]
| 2.3.11 [[pythrabian]], [[neutral]] (2.3.11 [[rastmic]]), [[namo]]
| [[tribilo]] (2.3.11 [[nexus]])
|
| 2.3.11 [[frameshift]]
|-
!2 . 3 . other n
| [[barbados]], [[superflat]], [[hydrothermal]], [[dog]]
| [[threedic]], [[semitonic]]
| [[boethian]], [[pepperoni]]
| [[historical]]
|
|-
! 2 . 5 . 7 <br>and its extensions
| no-3 [[oodako]], no-3 [[pajara]]
| [[didacus]], [[llywelyn]]
| [[rainy]], [[mercy]], [[frostburn]], [[baldy]]
| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
| [[ostara]]
|-
! 2 . 5 . other n
| [[movila]]
| [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[trader]]
| [[insect]], [[sulis]]
|
|
|-
! 2 . 7 <br>and its extensions
| [[ultrakleismic]], [[shipwreck]], [[mabon]], [[demon]], [[machine]]
| [[orgone]], [[counterultrakleismic]], [[machine|apparatus]]
| [[stacks]], [[machine|mechanism]]
|
|
|-
! 3 . 5 . 7 <br>and its extensions
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[vega]]
| [[mintra]] (3.5.7.11), [[dubhe]] (3.5.7.17)
| [[miaplacidus]], [[mintra]] (3.5.7.11.13)
| [[izar]], [[BPS|athena]]
|
|-
!3 . 5 . other n
| [[polaris]], [[aldebaran]]
| [[deneb]]
| [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]]
| [[alnilam]]
|
|-
! 3 . 7 <br>and its extensions
| [[mintaka]] (3.7.11), [[keladic]]
| [[mintaka]] (3.7.11.13), [[minalzidar]]
| [[mebsuta]]
|
|
|-
! 4 . n <br>and its extensions
| [[tetrameantone]], [[quarchy]]
| [[tetrahanson]], [[meanquad]]
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|
|-
! 5 . n <br>and its extensions
| [[juggernaut]]
| [[antipyth]]
|
|
|
|-
! Other subgroups
| [[halftone]], [[semiwolf]], [[auk]]
| [[greeley]]
|
|
|
|}
</pre>
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