User:Eufalesio/Ultimate: Difference between revisions

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~~{{Editable user page}}~~

is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but I will simply call it '''Ultimate'''. My reasoning of this will become clear. Or at least, I expect you to understand why it's clear in my mind.

~~I intend for this to become a little manifesto for Ultimate, so any (goodwilled) editing towards making the points come across and convince people will be more than welcome.~~

== Quick definition ==

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et cetera...

The [[Pergen|peergen]] can be taken to be (P8, P5, ^1), where ^1 is the "minicomma"; a 3~5c interval that represents 385/384~352/351~5120/5103~513/512.

=== Interval list ===

Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. ~~Bolded ones are octave reduced harmonics or subharmonics.~~

Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here,

{| class="wikitable"

!'''Fifths'''

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However, if you forego p5 and p13 for the chain of fifths, you end up with [[gary]]. Gary is a serendipitious temperament, the same as cassandra but optimized for the [[zala]]. 135edo is an essentially perfect tuning, reaching sub-cent levels of error in the subgroup, with a poma of 26.<u>6</u> c.

Ultimate is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent generator for p5 and p13, which acts as 385/384~352/351~5120/5103... etc, being around 4.4c~~; so I call it the "minicomma"~~. It doesn't begin to make sense up until 217edo, but 270edo and 311edo are arguably the best tunings. 217edo is alright, but not the best, which would make it a waste of time if it weren't a multiple of 31edo.

Ultimate is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent minicomma generator for p5 and p13, which acts as 385/384~352/351~5120/5103... etc, being around 4.4c. It doesn't begin to make sense up until 217edo, but 270edo and 311edo are arguably the best tunings. 217edo is alright, but not the best, which would make it a waste of time if it weren't a multiple of 31edo.

'''The key reasons''' on why Ultimate is ultimate, is ultimately due to the fact that 270edo and 311edo are inside the supported equal tunings, because going any further would make the edosteps not discernible, and because no other edo in their vicinity is as good as them. Beyond that, I see no reason to use edos.

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-{{Editable user page}}
 is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but I will simply call it '''Ultimate'''. My reasoning of this will become clear. Or at least, I expect you to understand why it's clear in my mind.
-I intend for this to become a little manifesto for Ultimate, so any (goodwilled) editing towards making the points come across and convince people will be more than welcome.
 == Quick definition ==
@@ Line 18: / Line 14: @@
 et cetera...
+The [[Pergen|peergen]] can be taken to be (P8, P5, ^1), where ^1 is the "minicomma"; a 3~5c interval that represents 385/384~352/351~5120/5103~513/512.
 === Interval list ===
-Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. Bolded ones are octave reduced harmonics or subharmonics.
+Here is a quick compressed cheat sheet of octave-reduced intervals. This is a MASSIVE simplification with many (infinitely many) intervals left out for the sake of brevity. For every entry here,
 {| class="wikitable"
 !'''Fifths'''
@@ Line 140: / Line 138: @@
 However, if you forego p5 and p13 for the chain of fifths, you end up with [[gary]]. Gary is a serendipitious temperament, the same as cassandra but optimized for the [[zala]]. 135edo is an essentially perfect tuning,  reaching sub-cent levels of error in the subgroup, with a poma of 26.<u>6</u> c.
-Ultimate is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent generator for p5 and p13, which acts as 385/384~352/351~5120/5103... etc, being around 4.4c; so I call it the "minicomma". It doesn't begin to make sense up until 217edo, but 270edo and 311edo are arguably the best tunings. 217edo is alright, but not the best, which would make it a waste of time if it weren't a multiple of 31edo.
+Ultimate is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent minicomma generator for p5 and p13, which acts as 385/384~352/351~5120/5103... etc, being around 4.4c. It doesn't begin to make sense up until 217edo, but 270edo and 311edo are arguably the best tunings. 217edo is alright, but not the best, which would make it a waste of time if it weren't a multiple of 31edo.
 '''The key reasons''' on why Ultimate is ultimate, is ultimately due to the fact that 270edo and 311edo are inside the supported equal tunings, because going any further would make the edosteps not discernible, and because no other edo in their vicinity is as good as them. Beyond that, I see no reason to use edos.