Würschmidt family: Difference between revisions

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[[Mos scale]]s may not be the best approach for würschmidt since they are even more extreme than those of [[magic]]. [[Proper]] scales does not appear until 28, 31 or even 34 notes, depending on the specific tuning.  
[[Mos scale]]s may not be the best approach for würschmidt since they are even more extreme than those of [[magic]]. [[Proper]] scales does not appear until 28, 31 or even 34 notes, depending on the specific tuning.  


The 7-limit extension are can be defined by adding another comma. Septimal würschmidt adds [[225/224]], worschmidt adds [[126/125]], whirrschmidt adds 4375/4374 = {{| -1 -7 4 1 }}. These all use the same generator as 5-limit würschmidt.  
The 7-limit extensions can be obtained by adding another comma. Septimal würschmidt adds [[225/224]], worschmidt adds [[126/125]], whirrschmidt adds 4375/4374 = {{| -1 -7 4 1 }}. These all use the same generator as 5-limit würschmidt.  


Hemiwürschmidt adds 6144/6125 = {{monzo| 11 1 -3 -2 }} 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]].  
Hemiwürschmidt adds 6144/6125 = {{monzo| 11 1 -3 -2 }} 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]].