Temperament addition: Difference between revisions
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We can write these using [[wart notation]] as 12p + 7p = 19p and 12p - 7p = 5p, respectively. The similarity in these temperaments can be seen in how, like both 12-ET and 7-ET, 19-ET (their sum) and 5-ET (their difference) both also support [[meantone temperament]]. | We can write these using [[wart notation]] as 12p + 7p = 19p and 12p - 7p = 5p, respectively. The similarity in these temperaments can be seen in how, like both 12-ET and 7-ET, 19-ET (their sum) and 5-ET (their difference) both also support [[meantone temperament]]. | ||
Temperament sums and differences can also be found using commas; for example meantone + porcupine=tetracot because {{vector|4 -4 1}} + {{vector|1 -5 3}} = {{vector|(4+1) (-4+-5) (1+3)}} = {{vector|5 -9 4}} and meantone - porcupine = dicot because {{vector|4 -4 1}} - {{vector|1 -5 3}} = {{vector|(4-1) (-4--5) (1-3)}} = {{vector|3 1 -2}}. | Temperament sums and differences can also be found using commas; for example meantone + porcupine = tetracot because {{vector|4 -4 1}} + {{vector|1 -5 3}} = {{vector|(4+1) (-4+-5) (1+3)}} = {{vector|5 -9 4}} and meantone - porcupine = dicot because {{vector|4 -4 1}} - {{vector|1 -5 3}} = {{vector|(4-1) (-4--5) (1-3)}} = {{vector|3 1 -2}}. | ||