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The [[5-limit]] parent comma for the '''würschmidt family''' (würschmidt is sometimes spelled '''wuerschmidt''') is [[393216/390625]], known as Würschmidt's comma, and named after José Würschmidt. Its [[monzo]] is {{monzo| 17 1 -8 }}, and flipping that yields {{multival| 8 1 17 }} for the wedgie. This tells us the [[generator]] is a classic major third, and that to get to the interval class of fifths will require eight of these. In fact, (5/4)<sup>8</sup> × 393216/390625 = 6.  
{{Technical data page}}
The [[5-limit]] parent comma for the '''würschmidt family''' (würschmidt is sometimes spelled '''wuerschmidt''') is [[393216/390625]], known as Würschmidt's comma, and named after José Würschmidt. The [[generator]] is a classic major third, and to get to the interval class of fifths requires eight of these. In fact, (5/4)<sup>8</sup> × 393216/390625 = 6.  


10\31, 11\34 or 21\65 are possible generators and other tunings include 96edo, 99edo and 164edo. Another tuning solution is to sharpen the major third by 1/8th of a Würschmidt comma, which is to say by 1.43 cents, and thereby achieve pure fifths; this is the [[minimax tuning]].  
Similar to [[meantone]], würschmidt implies that 3/2 will be tempered flat and/or 5/4 will be tempered sharp, and therefore 6/5 will be tempered flat. Unlike meantone, it is far more accurate. Combining würschmidt with meantone gives [[31edo]] as the first practical tuning with a generator of 10\31, but increasingly good 5-limit edo generators are [[34edo|11\34]] and especially [[65edo|21\65]], which notably is the point where it is combined with [[schismic]]/[[nestoria]] and [[gravity]]/[[larry]]. Other edo tunings include [[96edo]], [[99edo]] and [[164edo]].  


[[MOS scale]]s of würschmidt are even more extreme than those of [[magic]]. [[Proper]] scales does not appear until 28, 31 or even 34 notes.
Another tuning solution is to sharpen the major third by 1/8 of a Würschmidt comma, which is to say by 1.43 cents, and thereby achieve pure fifths; this is the [[minimax tuning]].  


The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at. Würschmidt adds {{monzo| 12 3 -6 -1 }}, worschmidt adds 65625/65536 = {{monzo| -16 1 5 1 }}, whirrschmidt adds 4375/4374 = {{monzo| -1 -7 4 1 }} and hemiwürschmidt adds 6144/6125 = {{monzo| 11 1 -3 -2 }}.
[[Mos scale]]s may not be the best approach for würschmidt since they are even more extreme than those of [[magic]]. [[Proper]] scales do not appear until 28, 31 or even 34 notes, depending on the specific tuning.  


== Würschmidt ==
== Würschmidt ==
Subgroup: 2.3.5
{{Main| Würschmidt }}
 
[[Subgroup]]: 2.3.5


[[Comma list]]: 393216/390625
[[Comma list]]: 393216/390625


[[Mapping]]: [{{Val|1 7 3}}, {{Val|0 -8 -1}}]
{{Mapping|legend=1| 1 -1 2 | 0 8 1 }}


[[POTE generator]]: ~5/4 = 387.799
: mapping generators: ~2, ~5/4


{{Val list|legend=1| 31, 34, 65, 99, 164, 721c, 885c }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~5/4 = 387.734
* [[POTE]]: ~2 = 1\1, ~5/4 = 387.799


[[Badness]]: 0.040603
{{Optimal ET sequence|legend=1| 3, …, 28, 31, 34, 65, 99, 164, 721c, 885c, 1049cc, 1213ccc }}


; Music
[[Badness]] (Smith): 0.040603
* [http://chrisvaisvil.com/ancient-stardust-wurschmidt13/ Ancient Stardust], [http://micro.soonlabel.com/jake_freivald/tunings_by_jake_freivald/20130811_wurschmidt%5b13%5d.mp3 play] by Chris Vaisvil; Würschmidt[13] in 5-odd-limit minimax tuning


* [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Wurschmidt%5b16%5d-out.mp3 Extrospection] by [https://soundcloud.com/jdfreivald/extrospection Jake Freivald]; Würschmidt[16] tuned in 31edo.
=== Overview to extensions ===
==== 7-limit extensions ====
The 7-limit extensions can be obtained by adding another comma. Septimal würschmidt adds [[225/224]], worschmidt adds [[126/125]], whirrschmidt adds [[4375/4374]]. These all use the same generator as 5-limit würschmidt.  


== Septimal würschmidt ==
Hemiwürschmidt adds [[3136/3125]] and splits the generator in two. This temperament is the best extension available for würschmidt despite its complexity. The details can be found in [[Hemimean clan #Hemiwürschmidt|Hemimean clan]].  
Würschmidt, aside from the commas listed above, also tempers out 225/224. [[31edo]] or [[127edo]] can be used as tunings. It extends naturally to an 11-limit version {{Multival| 8 1 18 20 … }} which also tempers out 99/98, 176/175 and 243/242. 127edo is again an excellent tuning for 11-limit würschmidt, as well as for minerva, the 11-limit rank-3 temperament tempering out 99/98 and 176/175.


Subgroup: 2.3.5.7
==== Subgroup extensions ====
Given that würschmidt naturally produces a neutral third at the interval 4 generators up, an obvious extension to prime 11 exists by equating this to [[11/9]], that is by tempering out [[5632/5625]] in addition to [[243/242]]; furthermore, like practically any 5-limit temperament with this accuracy level of [[3/2]] available, extensions to prime 19 exist by tempering out either [[513/512]] or [[1216/1215]] (which meet at 65edo and [[nestoria]]).


[[Comma list]]: [[225/224]], 8748/8575
However, as discussed in the main article, the "free" higher prime for würschmidt outside the 5-limit is in fact 23, via tempering out S24 = [[576/575]] and S46<sup>2</sup> × S47 = [[12167/12150]]. Therefore, the below discusses the 2.3.5.23 and 2.3.5.11.23 extensions.


[[Mapping]]: [{{val| 1 7 3 15 }}, {{Val| 0 -8 -1 -18 }}]
=== 2.3.5.23 subgroup ===
Subgroup: 2.3.5.23


{{Multival|legend=1| 8 1 18 -17 6 39 }}
Comma list: 576/575, 12167/12150


[[POTE generator]]: ~5/4 = 387.383
Sval mapping: {{mapping| 1 -1 2 0 | 0 8 1 14 }}


{{Val list|legend=1| 31, 96, 127, 285bd, 412bbdd }}
Optimal tunings:
* CTE: ~2 = 1\1, ~5/4 = 387.734
* POTE: ~2 = 1\1, ~5/4 = 387.805


[[Badness]]: 0.050776
Optimal ET sequence: {{optimal ET sequence| 3, …, 28i, 31, 34, 65, 99, 164 }}


=== 11-limit ===
Badness (Smith): 0.00530
Subgroup: 2.3.5.7.11


Comma list: 99/98, 176/175, 243/242
==== 2.3.5.11.23 subgroup ====
Subgroup: 2.3.5.11.23


Mapping: [{{val| 1 7 3 15 17 }}, {{val| 0 -8 -1 -18 -20 }}]
Comma list: 243/242, 276/275, 529/528


POTE generator: ~5/4 = 387.447
Sval mapping: {{mapping| 1 -1 2 -3 0 | 0 8 1 20 14 }}


Optimal GPV sequence: {{Val list| 31, 65d, 96, 127, 223d }}
Optimal tuning:  
* CTE: ~2 = 1\1, ~5/4 = 387.652
* POTE: ~2 = 1\1, ~5/4 = 387.690


Badness: 0.024413
Optimal ET sequence: {{optimal ET sequence| 31, 34, 65 }}


==== 13-limit ====
Badness (Smith): 0.00660
Subgroup: 2.3.5.7.11.13


Comma list: 99/98, 144/143, 176/175, 275/273
== Septimal würschmidt ==
 
Würschmidt, aside from the commas listed above, also tempers out [[225/224]]. [[31edo]] or [[127edo]] can be used as tunings. It extends naturally to an 11-limit version which also tempers out [[99/98]], [[176/175]] and 243/242. 127edo is again an excellent tuning for 11-limit würschmidt, as well as for [[minerva]], the 11-limit rank-3 temperament tempering out 99/98 and 176/175.
Mapping: [{{val| 1 7 3 15 17 1 }}, {{val| 0 -8 -1 -18 -20 4 }}]
 
POTE generator: ~5/4 = 387.626


Optimal GPV sequence: {{Val list| 31, 65d, 161df }}
2-würschmidt, the temperament with all the same commas as würschmidt but a generator of twice the size, is equivalent to [[skwares]] as a 2.3.7.11 subgroup temperament.


Badness: 0.023593
The S-expression-based comma list of the 11-limit würschmidt discussed here is {[[176/175|S8/S10]], [[243/242|S9/S11]], [[225/224|S15]]}. Tempering out [[81/80|S9]] or [[121/120|S11]] results in [[31edo]], and in complementary fashion, tempering out [[64/63|S8]] or [[100/99|S10]] results in [[34edo]], but specifically, the 34d [[val]] where we accept 17edo's mapping of ~7. Their val sum, 31 + 34d = 65d, thus observes all of these [[square superparticular]]s by equating them as S8 = S9 = S10 = S11, hence its S-expression-based comma list is {{nowrap| {[[5120/5103|S8/S9]], [[8019/8000|S9/S10]], [[4000/3993|S10/S11]]} }}, which may be expressed in shortened form as {{nowrap| {S8/9/10/11} }}*. As a result, [[65edo]] is especially structurally natural for this temperament, though high damage on the 7 no matter what mapping you use (with the sharp 7 being used for this temperament); even so, it's fairly close to the optimal tuning already if you are fine with a significantly flat ~9/7, which has the advantage of ~14/11 more in tune. However, as 31edo is relatively in-tune already, 65d + 31 = [[96edo]] is also a reasonable choice, as it has the advantage of being [[patent val]] in the 11-limit, though it uses a different (more accurate) mapping for 13.


==== Worseschmidt ====
(<nowiki>*</nowiki> The advantage of this form is we can easily see that all of the [[semiparticular]] commas expected are implied as well as any other commas expressible as the difference between two square superparticular commas by reading them off as ratios like 8/10 (S8/S10) and 9/11 (S9/S11).)
Subgroup: 2.3.5.7.11.13


Commas: 66/65, 99/98, 105/104, 243/242
[[Subgroup]]: 2.3.5.7


Mapping: [{{val| 1 7 3 15 17 22 }}, {{val| 0 -8 -1 -18 -20 -27 }}]
[[Comma list]]: 225/224, 8748/8575


POTE generator: ~5/4 = 387.099
{{Mapping|legend=1| 1 -1 2 -3 | 0 8 1 18 }}


Optimal GPV sequence: {{Val list| 3def, 28def, 31 }}
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~5/4 = 387.379
* [[POTE]]: ~2 = 1\1, ~5/4 = 387.383


Badness: 0.034382
{{Optimal ET sequence|legend=1| 31, 96, 127 }}


== Worschmidt ==
[[Badness]] (Smith): 0.050776
Worschmidt tempers out 126/125 rather than 225/224, and can use [[31edo]], [[34edo]], or [[127edo]] as a tuning. If 127 is used, note that the val is {{val| 127 201 295 '''356''' }} (127d) and not {{val| 127 201 295 '''357''' }} as with würschmidt. In practice, of course, both mappings could be used ambiguously, which might be an interesting avenue for someone to explore.
 
Subgroup: 2.3.5.7
 
[[Comma list]]: 126/125, 33075/32768
 
[[Mapping]]: [{{val| 1 7 3 -6 }}, {{val| 0 -8 -1 13 }}]
 
{{Multival|legend=1| 8 1 -13 -17 -43 -33 }}
 
[[POTE generator]]: ~5/4 = 387.392
 
{{Val list|legend=1| 31, 65, 96d, 127d }}
 
[[Badness]]: 0.064614


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 126/125, 243/242, 385/384
Comma list: 99/98, 176/175, 243/242
 
Mapping: [{{val| 1 7 3 -6 17 }}, {{val| 0 -8 -1 13 -20 }}]
 
POTE generator: ~5/4 = 387.407
 
Optimal GPV sequence: {{Val list| 31, 65, 96d, 127d }}
 
Badness: 0.033436
 
== Whirrschmidt ==
[[99edo]] is such a good tuning for whirrschimdt that we hardly need look any farther. Unfortunately, the temperament while accurate is complex, with 7 mapped to the 52nd generator step.
 
Subgroup: 2.3.5.7
 
[[Comma list]]: 4375/4374, 393216/390625
 
[[Mapping]]: [{{val| 1 7 3 38 }}, {{val| 0 -8 -1 -52 }}]
 
{{Multival|legend=1| 8 1 52 -17 60 118 }}
 
[[POTE generator]]: ~5/4 = 387.881
 
{{Val list|legend=1| 34d, 65, 99 }}
 
[[Badness]]: 0.086334
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 243/242, 896/891, 4375/4356
 
Mapping: [{{val| 1 7 3 38 17 }}, {{val| 0 -8 -1 -52 -20 }}]
 
POTE generator: ~5/4 = 387.882
 
Optimal GPV sequence: {{Val list| 34d, 65, 99e }}
 
Badness: 0.058325
 
== Hemiwürschmidt ==
{{See also| Hemimean clan #Hemiwürschmidt }}
 
'''Hemiwürschmidt''' (sometimes spelled '''hemiwuerschmidt'''), which splits the major third in two and uses that for a generator, is the most important of these temperaments even with the rather large complexity for the fifth. It tempers out [[2401/2400]], [[3136/3125]], and [[6144/6125]]. [[68edo]], [[99edo]] and [[130edo]] can all be used as tunings, but 130 is not only the most accurate, it shows how hemiwürschmidt extends to a higher limit temperament, {{multival| 16 2 5 40 -39 -49 -48 28 … }}.
 
Subgroup: 2.3.5.7
 
[[Comma list]]: 2401/2400, 3136/3125
 
[[Mapping]]: [{{val| 1 15 4 7 }}, {{val| 0 -16 -2 -5 }}]
 
{{Multival|legend=1| 16 2 5 -34 -37 6 }}
 
[[POTE generator]]: ~28/25 = 193.898
 
{{Val list|legend=1| 31, 68, 99, 229, 328, 557c, 885cc }}
 
[[Badness]]: 0.020307
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 243/242, 441/440, 3136/3125


Mapping: [{{val| 1 15 4 7 37 }}, {{val| 0 -16 -2 -5 -40 }}]
Mapping: {{mapping| 1 -1 2 -3 -3 | 0 8 1 18 20 }}


POTE generator: ~28/25 = 193.840
Optimal tunings:
* CTE: ~2 = 1\1, ~5/4 = 387.441
* POTE: ~2 = 1\1, ~5/4 = 387.447


Optimal GPV sequence: {{Val list| 31, 99e, 130, 650ce, 811ce }}
Optimal ET sequence: {{optimal ET sequence| 31, 65d, 96, 127 }}


Badness: 0.021069
Badness (Smith): 0.024413


==== 13-limit ====
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 243/242, 351/350, 441/440, 3584/3575
Comma list: 99/98, 144/143, 176/175, 275/273


Mapping: [{{val| 1 15 4 7 37 -29 }}, {{val| 0 -16 -2 -5 -40 39 }}]
Mapping: {{mapping| 1 -1 2 -3 -3 5 | 0 8 1 18 20 -4 }}


POTE generator: ~28/25 = 193.829
Optimal tunings:
* CTE: ~2 = 1\1, ~5/4 = 387.469
* POTE: ~2 = 1\1, ~5/4 = 387.626


Optimal GPV sequence: {{Val list| 31, 99e, 130, 291, 421e, 551ce }}
Optimal ET sequence: {{optimal ET sequence| 31, 65d }}


Badness: 0.023074
Badness (Smith): 0.023593


==== Hemithir ====
==== Worseschmidt ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 121/120, 176/175, 196/195, 275/273
Commas: 66/65, 99/98, 105/104, 243/242


Mapping: [{{val| 1 15 4 7 37 -3 }}, {{val| 0 -16 -2 -5 -40 8 }}]
Mapping: {{mapping| 1 -1 2 -3 -3 -5 | 0 8 1 18 20 27 }}


POTE generator: ~28/25 = 193.918
Optimal tunings:
* CTE: ~2 = 1\1, ~5/4 = 387.179
* POTE: ~2 = 1\1, ~5/4 = 387.099


Optimal GPV sequence: {{Val list| 31, 68e, 99ef }}
Optimal ET sequence: {{optimal ET sequence| 3def, 28def, 31 }}


Badness: 0.031199
Badness (Smith): 0.034382


=== Hemiwur ===
== Worschmidt ==
Subgroup: 2.3.5.7.11
Worschmidt tempers out 126/125 rather than 225/224, and can use [[31edo]], [[34edo]], or [[127edo]] as a tuning. If 127 is used, note that the val is {{val| 127 201 295 '''356''' }} (127d) and not {{val| 127 201 295 '''357''' }} as with würschmidt. In practice, of course, both mappings could be used ambiguously, which might be an interesting avenue for someone to explore.


Comma list: 121/120, 176/175, 1375/1372
[[Subgroup]]: 2.3.5.7


Mapping: [{{val| 1 15 4 7 11 }}, {{val| 0 -16 -2 -5 -9 }}]
[[Comma list]]: 126/125, 33075/32768


POTE generator: ~28/25 = 193.884
{{Mapping|legend=1| 1 -1 2 7 | 0 8 1 -13 }}


Optimal GPV sequence: {{Val list| 31, 68, 99, 130e, 229e }}
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~5/4 = 387.406
* [[POTE]]: ~2 = 1\1, ~5/4 = 387.392


Badness: 0.029270
{{Optimal ET sequence|legend=1| 31, 96d, 127d }}


==== 13-limit ====
[[Badness]] (Smith): 0.064614
Subgroup: 2.3.5.7.11.13


Comma list: 121/120, 176/175, 196/195, 275/273
=== 11-limit ===
Subgroup: 2.3.5.7.11


Mapping: [{{val| 1 15 4 7 11 -3 }}, {{val| 0 -16 -2 -5 -9 8 }}]
Comma list: 126/125, 243/242, 385/384


POTE generator: ~28/25 = 194.004
Mapping: {{mapping| 1 -1 2 7 -3 | 0 8 1 -13 20 }}


Optimal GPV sequence: {{Val list| 31, 68, 99f, 167ef }}
Optimal tunings:  
* CTE: ~2 = 1\1, ~5/4 = 387.472
* POTE: ~2 = 1\1, ~5/4 = 387.407


Badness: 0.028432
Optimal ET sequence: {{optimal ET sequence| 31, 65, 96d, 127d }}


==== Hemiwar ====
Badness (Smith): 0.033436
Subgroup: 2.3.5.7.11.13


Comma list: 66/65, 105/104, 121/120, 1375/1372
== Whirrschmidt ==
[[99edo]] is such a good tuning for whirrschimdt that we hardly need look any farther. Unfortunately, the temperament while accurate is complex, with 7 mapped to the 52nd generator step.


Mapping: [{{val| 1 15 4 7 11 23 }}, {{val| 0 -16 -2 -5 -9 -23 }}]
[[Subgroup]]: 2.3.5.7


POTE generator: ~28/25 = 193.698
[[Comma list]]: 4375/4374, 393216/390625


Optimal GPV sequence: {{Val list| 6f, 31 }}
{{Mapping|legend=1| 1 -1 2 -14 | 0 8 1 52 }}


Badness: 0.044886
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~5/4 = 387.853
* [[POTE]]: ~2 = 1\1, ~5/4 = 387.881


=== Quadrawürschmidt ===
{{Optimal ET sequence|legend=1| 34d, 65, 99 }}
This has been documented in Graham Breed's temperament finder as ''semihemiwürschmidt'', but ''quadrawürschmidt'' arguably makes more sense.


Subgroup: 2.3.5.7.11
[[Badness]] (Smith): 0.086334


Comma list: 2401/2400, 3025/3024, 3136/3125
=== 11-limit ===
 
Mapping: [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}]
 
Mapping generators: ~2, ~147/110
 
POTE generator: ~147/110 = 503.0404
 
Optimal GPV sequence: {{Val list| 31, 105be, 136e, 167, 198, 427c }}
 
Badness: 0.034814
 
=== Semihemiwür ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 2401/2400, 3136/3125, 9801/9800
Comma list: 243/242, 896/891, 4375/4356
 
Mapping: [{{val| 2 14 6 9 -10 }}, {{val| 0 -16 -2 -5 25 }}]
 
Mapping generators: ~99/70, ~495/392
 
POTE generator: ~28/25 = 193.9021
 
Optimal GPV sequence: {{Val list| 62e, 68, 130, 198, 328 }}
 
Badness: 0.044848
 
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
 
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125
 
Mapping: [{{val| 2 14 6 9 -10 25 }}, {{val| 0 -16 -2 -5 25 -26 }}]
 
POTE generator: ~28/25 = 193.9035
 
Optimal GPV sequence: {{Val list| 62e, 68, 130, 198, 328 }}
 
Badness: 0.023388
 
===== Semihemiwürat =====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625
 
Mapping: [{{val| 2 14 6 9 -10 25 19 }}, {{val| 0 -16 -2 -5 25 -26 -16 }}]
 
POTE generator: ~28/25 = 193.9112
 
Optimal GPV sequence: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }}
 
Badness: 0.028987
 
====== 19-limit ======
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625
 
Mapping: [{{val| 2 14 6 9 -10 25 19 20 }}, {{val| 0 -16 -2 -5 25 -26 -16 -17 }}]
 
POTE generator: ~19/17 = 193.9145
 
Optimal GPV sequence: {{Val list| 62e, 68, 130, 198, 328g, 526cfgg }}
 
Badness: 0.021707
 
===== Semihemiwürand =====
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 256/255, 676/675, 715/714, 1001/1000, 1225/1224
 
Mapping: [{{val| 2 14 6 9 -10 25 -4 }}, {{val| 0 -16 -2 -5 25 -26 18 }}]
 
POTE generator: ~28/25 = 193.9112
 
Optimal GPV sequence: {{Val list| 62eg, 68, 130g, 198g }}
 
Badness: 0.029718
 
====== 19-limit ======
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 256/255, 286/285, 400/399, 476/475, 495/494, 1225/1224
 
Mapping: [{{val| 2 14 6 9 -10 25 -4 -3 }}, {{val| 0 -16 -2 -5 25 -26 18 17 }}]


POTE generator: ~19/17 = 193.9428
Mapping: {{mapping| 1 -1 2 -14 -3 | 0 8 1 52 20 }}


Optimal GPV sequence: {{Val list| 62egh, 68, 130gh, 198gh }}
Optimal tunings:  
* CTE: ~2 = 1\1, ~5/4 = 387.829
* POTE: ~2 = 1\1, ~5/4 = 387.882


Badness: 0.029545
Optimal ET sequence: {{optimal ET sequence| 34d, 65, 99e }}


== Relationships to other temperaments ==
Badness (Smith): 0.058325
2-Würschmidt, the temperament with all the same commas as würschmidt but a generator of twice the size, is equivalent to [[skwares]] as a 2.3.7.11 temperament.


[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Würschmidt family| ]] <!-- main article -->
[[Category:Würschmidt family| ]] <!-- main article -->
[[Category:Würschmidt| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Würschmidt|#]] <!-- list on top of cat -->
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