User:Eufalesio/Ultimate: Difference between revisions

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is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but since this is my page I will simply call it '''ultimate'''. ~~The reason~~ of this will become clear.

is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but since this is my page 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.

== Quick definition ==

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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 385/384~352/351~5120/51023... 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.

'''The key ~~reason~~''' on why ''ultimate'' is ultimate, is ultimately due to the fact that 270edo and 311edo are inside the supported equal tunings, ~~and~~ because going any further would make the edosteps not discernible, and because no other edo in their vicinity is as good as them~~, but by~~ that ~~point~~, ~~there is~~ no reason to use ~~such a tempered chain of fifths and instead use something like [[624edo]] at minimum~~.

'''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.

270edo and 311edo inherit a chain of fifths that is consistent with cassandra, which itself is an extension of the circle of fifths. The only adition is a single edostep, and respectively, the entire 13-limit is tuned to unfathomable precision, and the 41-limit is fully accessible and very well tuned. However, I prefer sticking to the 13-limit, so 270edo is an optimal equal tuning.

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=== 12e ===

The coarsest tuning that makes sense. It can be written just with sharps/flats, since the poma and the minicomma are tempered out in all its possible expressions.

The coarsest tuning that makes sense. It can be written just with sharps/flats, since the poma and the minicomma are tempered out in all its possible expressions. 12e because patent val tunes 11/8 as a tritone, not fourth. The cassandra mapping is based on 11/8 as a kind of fourth, not tritone. Either way, p11 is NOT there. Consider it an extremely coarse [[yazatha]] tuning.

=== 41 ===

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-is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but since this is my page I will simply call it '''ultimate'''. The reason of this will become clear.
+is 41&53&217, otherwise known by in the wiki as ''[[cassaschismic]]'' (technical info inside), but since this is my page 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.
 == Quick definition ==
@@ Line 138: / Line 138: @@
 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 385/384~352/351~5120/51023... 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.
-'''The key reason''' on why ''ultimate'' is ultimate, is ultimately due to the fact that 270edo and 311edo are inside the supported equal tunings, and because going any further would make the edosteps not discernible, and because no other edo in their vicinity is as good as them, but by that point, there is no reason to use such a tempered chain of fifths and instead use something like [[624edo]] at minimum.
+'''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.
 edo and 311edo inherit a chain of fifths that is consistent with cassandra, which itself is an extension of the circle of fifths. The only adition is a single edostep, and respectively, the entire 13-limit is tuned to unfathomable precision, and the 41-limit is fully accessible and very well tuned. However, I prefer sticking to the 13-limit, so 270edo is an optimal equal tuning.
@@ Line 146: / Line 146: @@
 === 12e ===
-The coarsest tuning that makes sense. It can be written just with sharps/flats, since the poma and the minicomma are tempered out in all its possible expressions.
+The coarsest tuning that makes sense. It can be written just with sharps/flats, since the poma and the minicomma are tempered out in all its possible expressions. 12e because patent val tunes 11/8 as a tritone, not fourth. The cassandra mapping is based on 11/8 as a kind of fourth, not tritone. Either way, p11 is NOT there. Consider it an extremely coarse [[yazatha]] tuning.
 === 41 ===