User:Eufalesio/Ultimate: Difference between revisions

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=== Olympic - Metaolympic ===

[[Olympic|This]]. The best course of action for detempering Ultimate is to observe the ~~garischisma~~, resulting in rank-4 olympic, which is just {S64, S65}. Notationwise, this results in spliting the saruyoma ~~being observed~~. Unlike in JI, where the ~~schisma~~ is around half the ~~garischisma~~, here the ~~schisma~~ is ~1.6x LARGER, not smaller. A [[10241/10240|tina (~10241/10240)]] is required to reach ~~prime~~ 17 and 19.

[[Olympic|This]]. The best course of action for detempering Ultimate is to observe the sasaruma, resulting in rank-4 olympic, which is just {S64, S65}. Notationwise, this results in spliting the saruyoma in halves. Unlike in JI, where the layoma is around half the sasaruma, here the layoma is ~1.6x LARGER, not smaller. A heavily inflated [[10241/10240|tina (~10241/10240)]] is one of these sasaruma halves; it and distinct layomas are required to reach primes 17 and 19.

Olympic decouples 64/63 from the chain of fifths; 64/63 is now its own thing, and the poma is \|↑. (\| is a ~~garischisma~~ down)

Olympic decouples 64/63 from the chain of fifths; 64/63 is now its own thing, and the poma is \|↑. (\| is a sasaruma down)

Everything else is the same:

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It's something I don't think I'll ever see myself doing because this accuracy is enough to represent highly fine edos such as 494, 764, or 935edo, which is already too much for me. Extensions to the 19-limit are bad: the strong one keeps 1729/1728 and 1216/1215, [[Catalog of rank-4 temperaments#Metaolympic|'''Meta'''olympic]] works, and though it's a weak extension; it can still be written retrocompatibly.

Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a ~~schisma~~ up, †/𐕣 is a heavily inflated tina)

Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a layoma up, †/𐕣 is a heavily inflated tina)

=== Insanismic - Insatinismic ===

Olympic STILL not enough? Split your losses and use [[5767168/5767125|{S64/S65}]]. Now you observe the olympia and get a schismina accidental.

An olympia is 3 of these schisminas. ~~You could write~~ this as dots above or below the accidentals but this is possibly getting a tad crowded.

An olympia is 3 of these schisminas. Write this as dots above or below the accidentals but this is possibly getting a tad crowded.

* ↑ is 64/63.

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Insanismic is at a level of precision comparable to 8539edo and much, MUCH finer. The people at sagittal.org had already declared its own version of this notation to be of "Insane" precision. Personally, ''insane'' is way too nice of a descriptor. This is is beyond your grasp of perfection, trust me.

With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity.

With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity. It looks funny.

Wouldn't I be also batshit insane by having researched it? No. I know I won't use it. But, knowing about it is important; how much '''JI'''uice I can squeeze out of 12edo... taking it to insanity? Well, '''here''' is the answer!

@@ Line 223: / Line 223: @@
 === Olympic - Metaolympic ===
-[[Olympic|This]]. The best course of action for detempering Ultimate is to observe the garischisma, resulting in rank-4 olympic, which is just {S64, S65}. Notationwise, this results in spliting the saruyoma being observed. Unlike in JI, where the schisma is around half the garischisma, here the schisma is ~1.6x LARGER, not smaller. A [[10241/10240|tina (~10241/10240)]] is required to reach prime 17 and 19.
+[[Olympic|This]]. The best course of action for detempering Ultimate is to observe the sasaruma, resulting in rank-4 olympic, which is just {S64, S65}. Notationwise, this results in spliting the saruyoma in halves. Unlike in JI, where the layoma is around half the sasaruma, here the layoma is ~1.6x LARGER, not smaller. A heavily inflated [[10241/10240|tina (~10241/10240)]] is one of these sasaruma halves; it and distinct layomas are required to reach primes 17 and 19.
-Olympic decouples 64/63 from the chain of fifths; 64/63 is now its own thing, and the poma is \|↑. (\| is a garischisma down)
+Olympic decouples 64/63 from the chain of fifths; 64/63 is now its own thing, and the poma is \|↑. (\| is a sasaruma down)
 Everything else is the same:
@@ Line 236: / Line 236: @@
 It's something I don't think I'll ever see myself doing because this accuracy is enough to represent highly fine edos such as 494, 764, or 935edo, which is already too much for me. Extensions to the 19-limit are bad: the strong one keeps 1729/1728 and 1216/1215, [[Catalog of rank-4 temperaments#Metaolympic|'''Meta'''olympic]] works, and though it's a weak extension; it can still be written retrocompatibly.
-Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a schisma up, †/𐕣 is a heavily inflated tina)
+Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a layoma up, †/𐕣 is a heavily inflated tina)
 === Insanismic - Insatinismic ===
 Olympic STILL not enough? Split your losses and use [[5767168/5767125|{S64/S65}]]. Now you observe the olympia and get a schismina accidental.
-An olympia is 3 of these schisminas. You could write this as dots above or below the accidentals but this is possibly getting a tad crowded.
+An olympia is 3 of these schisminas. Write this as dots above or below the accidentals but this is possibly getting a tad crowded.
 * ↑ is 64/63.
@@ Line 250: / Line 250: @@
 Insanismic is at a level of precision comparable to 8539edo and much, MUCH finer. The people at sagittal.org had already declared its own version of this notation to be of "Insane" precision. Personally, ''insane'' is way too nice of a descriptor. This is is beyond your grasp of perfection, trust me.
-With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity.
+With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity. It looks funny.
 Wouldn't I be also batshit insane by having researched it? No. I know I won't use it. But, knowing about it is important; how much '''JI'''uice I can squeeze out of 12edo... taking it to insanity? Well, '''here''' is the answer!