Talk:EDO vs ET: Difference between revisions

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::::::::::: Is 2-limit 12-ET (= contorted (order 12) 2-limit) a RT? Yes. It is a temperament because it calls itself a temperament and well-defined. (But I'll add: I've suggested we call this sort of thing a "temperoid"; I prefer to use the term "enfactored" rather than "contorted", and the point is that {{map|12}} doesn't bring anything more to the table ''as a regular temperament'' than {{map|1}} does, so if we wanted to make a list of all the unique regular temperaments in existence, we would include {{map|1}} but we might not want to include {{map|12}}.)

::::::::::: Let me know if you have further questions, and I'll do my best to answer. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:49, 26 June 2023 (UTC)

:::::::::::: So I tried to get a one-to-one correspondence with the output by "enfactoring" the input by 12, and the result was the 2<sup>1/12</sup> domain basis. But I have just come to the conclusion that this has no practical significance. Mapping an exponential function to the equal-step tuning is no different from the generator chain, and there is nothing to do in 1D domain. Barely the 2-limit case is only useful for explaining as a edge case. --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 15:00, 28 June 2023 (UTC)

== "Supports" ==

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 ::::::::::: Is 2-limit 12-ET (= contorted (order 12) 2-limit) a RT? Yes. It is a temperament because it calls itself a temperament and well-defined. (But I'll add: I've suggested we call this sort of thing a "temperoid"; I prefer to use the term "enfactored" rather than "contorted", and the point is that {{map|12}} doesn't bring anything more to the table ''as a regular temperament'' than {{map|1}} does, so if we wanted to make a list of all the unique regular temperaments in existence, we would include {{map|1}} but we might not want to include {{map|12}}.)
 ::::::::::: Let me know if you have further questions, and I'll do my best to answer. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 20:49, 26 June 2023 (UTC)
+:::::::::::: So I tried to get a one-to-one correspondence with the output by "enfactoring" the input by 12, and the result was the 2<sup>1/12</sup> domain basis. But I have just come to the conclusion that this has no practical significance. Mapping an exponential function to the equal-step tuning is no different from the generator chain, and there is nothing to do in 1D domain. Barely the 2-limit case is only useful for explaining as a edge case. --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 15:00, 28 June 2023 (UTC)
 == "Supports" ==