Non-over-1 temperament: Difference between revisions
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=== Petrtri === | === Petrtri === | ||
{{See also|Subgroup temperaments #Petrtri|Chromatic pairs #Petrtri}} | {{See also|Subgroup temperaments #Petrtri|Chromatic pairs #Petrtri}} | ||
Define petrtri as the 2.9/5.11/5.13/5 subgroup temperament supported by 13edo and 21edo. Then petrtri mainly approximates 5:9:11:13, and this chord is found twice in the [[oneirotonic]] MOS petrtri[8]. Both 13edo and 21edo support the -7 generators = 5/4 mapping, so petrtri extends to the 2.5.9.11.13 subgroup; however, a 4:5:9:11:13 chord must span 10 generators (11 notes) thus must go outside the 8-note MOS. Thus it is fair to say that approximations of 5:9:11:13 in the 8-note MOS use this non-over-1 temperament. | Define petrtri as the 2.9/5.11/5.13/5 subgroup temperament supported by [[13edo]] and [[21edo]]. Then petrtri mainly approximates 5:9:11:13, and this chord is found twice in the [[oneirotonic]] MOS petrtri[8]. Both 13edo and 21edo support the -7 generators = 5/4 mapping, so petrtri extends to the 2.5.9.11.13 subgroup; however, a 4:5:9:11:13 chord must span 10 generators (11 notes) thus must go outside the 8-note MOS. Thus it is fair to say that approximations of 5:9:11:13 in the 8-note MOS use this non-over-1 temperament. | ||
=== Sensi === | === Sensi === | ||