Neutral third scales: Difference between revisions
Separated the temp interpretation. I'd call 10edo 3l 4s a neutral 3rds scale (which doesnt approximate 11/8). Tags: Mobile edit Mobile web edit |
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'''Neutral third scales''' are characterized by the division of the 3/2 "perfect fifth" into two equal "neutral thirds". | '''Neutral third scales''' are characterized by the division of the 3/2 "perfect fifth" into two equal "neutral thirds". | ||
One possible temperament interpretation is that the generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out. | One possible temperament interpretation is that the neutral third generator can be taken to represent either 11/9 or 27/22. This means the comma 243/242 is tempered out. | ||
If the fifth harmonic is used at all, it makes sense to map it to 8 generators by tempering out 81/80, making it [[Meantone_family#Mohajira|a meantone system]], sometimes called [[Chromatic_pairs#Mohaha|"mohaha"]]. If 7 is also mapped a particular way it is called [[Mohajira|mohajira]]. Alternatively, 64/63 could be tempered out, leading to a 2.3.7.11 version of [[maqamic|maqamic temperament]]. But neither of these adjustments to the farther-out intervals affects its basic nature as a "neutral thirds" scale, which equally subdivides the 3/2 into two equal parts. | If the fifth harmonic is used at all, it makes sense to map it to 8 generators by tempering out 81/80, making it [[Meantone_family#Mohajira|a meantone system]], sometimes called [[Chromatic_pairs#Mohaha|"mohaha"]]. If 7 is also mapped a particular way it is called [[Mohajira|mohajira]]. Alternatively, 64/63 could be tempered out, leading to a 2.3.7.11 version of [[maqamic|maqamic temperament]]. But neither of these adjustments to the farther-out intervals affects its basic nature as a "neutral thirds" scale, which equally subdivides the 3/2 into two equal parts. | ||