Triwellismic temperaments: Difference between revisions
Created page with "Triwellismic rank-two temperaments temper out the triwellisma, {{monzo|1 -1 -7 6}} = 235298/234375, the difference seven 7/5s and septimal triple-compound sub-fourth (21..." |
mNo edit summary |
||
| Line 1: | Line 1: | ||
Triwellismic rank-two temperaments temper out the triwellisma, {{monzo|1 -1 -7 6}} = 235298/234375, the difference seven [[7/5]]s and septimal triple-compound sub-fourth ([[21/16]] plus three octaves). | Triwellismic rank-two temperaments temper out the triwellisma, {{monzo|1 -1 -7 6}} = 235298/234375, the difference seven [[7/5]]s and septimal triple-compound sub-fourth ([[21/16]] plus three octaves). | ||
Temperaments discussed elsewhere include [[Porcupine family #Ammonite|ammonite]], [[Hemimage temperaments #Chromat|chromat]], [[Pental family #Decal|decal]], [[Fifive family #Fourfives|fourfives]] [[Würschmidt family #Hemiwürschmidt|hemiwürschmidt]], [[Starling temperaments #Nusecond|nusecond]], [[Ragismic microtemperaments #Semidimfourth|semidimfourth]], [[Schismatic family #sextilififths|sextilischis]], [[Marvel temperaments #Tritonic|tritonic]], [[Semicomma family #Triwell|triwell]] and [[Hemifamity temperaments #Undecental|undecental]]. | Temperaments discussed elsewhere include [[Porcupine family #Ammonite|ammonite]], [[Hemimage temperaments #Chromat|chromat]], [[Pental family #Decal|decal]], [[Fifive family #Fourfives|fourfives]], [[Würschmidt family #Hemiwürschmidt|hemiwürschmidt]], [[Starling temperaments #Nusecond|nusecond]], [[Ragismic microtemperaments #Semidimfourth|semidimfourth]], [[Schismatic family #sextilififths|sextilischis]], [[Marvel temperaments #Tritonic|tritonic]], [[Semicomma family #Triwell|triwell]] and [[Hemifamity temperaments #Undecental|undecental]]. | ||
== Interaufo == | == Interaufo == | ||
{{see also| High badness temperaments #Untriton }} | {{see also| High badness temperaments #Untriton }} | ||
The name "interaufo" means an augmented fourth interval between [[45/32]] (classic diatonic tritone) and [[729/512]] (Pythagorean tritone). The ''interaufo'' temperament (159&161) tempers out the same 5-limit comma as the untriton, but has a generator as [[24/17]]-wide tritone, three generators makes 45/32 and five of them makes 7/5 with octave reduction. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||