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	== Equivalence continua: fractional n's ==		== Equivalence continua: fractional n's ==

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	== Equivalence continua: fractional n's ==		== Equivalence continua: fractional n's ==

FloraC: Created page with "== Equivalence continua: fractional n's == How exactly do you get a rational number from using a fractional exponent? This is mostly for the diaschismic-porcupine continuum p..."

2024-08-07T07:43:32Z

Created page with "== Equivalence continua: fractional n's == How exactly do you get a rational number from using a fractional exponent? This is mostly for the diaschismic-porcupine continuum p..."

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== Equivalence continua: fractional n's ==

How exactly do you get a rational number from using a fractional exponent? This is mostly for the diaschismic-porcupine continuum page I'm making.

--[[User:Royalmilktea|Royalmilktea]] ([[User talk:Royalmilktea|talk]]) 02:52, 30 April 2023 (UTC)

: You can get the fractional monzos by adding or subtracting fractional multiples of the ''n'' = infinity monzo from the ''n'' = 0 3-limit base monzo, and then eliminate fractions by lcm-ing it. Btw I have some important comments and plz make sure you read the talk page of that particular page you mentioned. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 09:47, 30 April 2023 (UTC)

== Constrained tuning vs. POTE tuning ==

I wondered that optimal tunings of some temperaments are indicated by [[Constrained tuning|constrained TE]] (CTE) instead of [[POTE tuning|octave-destretched TE]] (POTE). Why did you update to replace generators POTE to CTE?

Temperament generators indicated by CTE tuning:

* [[Meantone family]]
* [[Porcupine family]]
* [[Augmented family]]
* [[Hemifamity temperaments]]

and so on ... --[[User:Xenllium|Xenllium]] ([[User talk:Xenllium|talk]]) 08:36, 3 May 2023 (UTC)

: The community (at least the part from Discord) have generally agreed that CTE is a more logical tuning. It's planned that most of the RTT pages will be eventually updated to CTE. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:24, 3 May 2023 (UTC)

== Temperament name revision for 99&166 and 166&198 ==

Reviewing [http://www.tonalsoft.com/enc/m/magic.aspx magic] in ''Encyclopedia of Microtonal Music Theory'', Tonalsoft, a low-accuacy temperament which tempers out 36/35 and 1875/1792 is given a name ''witch'', so I revised the temperament names for 99&166 (''witch'' → ''[[Wizmic microtemperaments #Witcher|witcher]]'') and 166&198 (''semiwitch''→''[[Wizmic microtemperaments #Witcher|semiwitcher]]''). Deal? --[[User:Xenllium|Xenllium]] ([[User talk:Xenllium|talk]]) 07:29, 6 August 2023 (UTC)

: Sure, since you named them in the first place. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 09:54, 6 August 2023 (UTC)

User talk:FloraC/Archive 2023 - Revision history

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FloraC: Created page with "== Equivalence continua: fractional n's == How exactly do you get a rational number from using a fractional exponent? This is mostly for the diaschismic-porcupine continuum p..."