Talk:33/32: Difference between revisions

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::: I've voiced this already – "meantone grammar" should be avoided for JI intervals. For example, will you think of 7/4 when I say "augmented sixth" without context? In fact, 7/4 is an augmented sixth in septimal meantone, but not in JI, so "augmented sixth" should be avoided as a name for 7/4. Likewise, "12edo grammar" and others of specific temperaments should also be avoided. That answers why diminished sixth isn't really a name for 3/2.

::: Another meantone-centrist mindset is to think chromatic semitone is smaller than diatonic semitone. A demonstration of this is 28/27 and 21/20 being called septimal chroma, despite that both are diatonic in both size and function.

::: Another meantone-centrist mindset is to think chromatic semitone is smaller than diatonic semitone. A demonstration of this is 28/27 and 21/20 being called septimal chroma, despite that both are diatonic in both size and function. <small><br>(above block was by: FloraC 10:37, 19 September 2020)</small>

:::: What do you mean by "meantone centrist"? The fact is that when you refer to "meantone", I invariably think of those temperaments where the syntonic comma is tempered out... Dare I point out that 16/15 only differs from the apotome by the ''schisma'', and as far as I'm concerned, 16/15 is a diatonic semitone... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 11:22, 19 September 2020 (UTC)

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: So I'm in a program to add FJS names for intervals. I see [[11/10]] and [[20/11]] have inconsistent names. Currently I've added both to make them match, which may also need further discussion. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:21, 20 September 2020 (UTC)

== Comma ==

So if this is a formal comma in every major JI notation system, why is x31eq telling me it's so terrible to temper out? Why is it saying 729/704 is better? [[User:Bootmii|Bootmii]] ([[User talk:Bootmii|talk]]) 02:01, 21 April 2022 (UTC)

: Not sure about ''better'' but it's not surprising that the error of {729/704} is lower than {33/32}. 729/704 is much more complex and only a little bit larger than 33/32, so the corresponding temperaments introduce about the same magnitude of displacement in the lattice, but {729/704} has a longer path to evenly distribute it out, which implies less error for each step.

: If you enjoy more of this kind of convo plz consider joining our Dicord or FB group. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:58, 21 April 2022 (UTC)

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 ::: I've voiced this already – "meantone grammar" should be avoided for JI intervals. For example, will you think of 7/4 when I say "augmented sixth" without context? In fact, 7/4 is an augmented sixth in septimal meantone, but not in JI, so "augmented sixth" should be avoided as a name for 7/4. Likewise, "12edo grammar" and others of specific temperaments should also be avoided. That answers why diminished sixth isn't really a name for 3/2.
-::: Another meantone-centrist mindset is to think chromatic semitone is smaller than diatonic semitone. A demonstration of this is 28/27 and 21/20 being called septimal chroma, despite that both are diatonic in both size and function.
+::: Another meantone-centrist mindset is to think chromatic semitone is smaller than diatonic semitone. A demonstration of this is 28/27 and 21/20 being called septimal chroma, despite that both are diatonic in both size and function. <small><br>(above block was by: FloraC 10:37, 19 September 2020)</small>
 :::: What do you mean by "meantone centrist"?  The fact is that when you refer to "meantone", I invariably think of those temperaments where the syntonic comma is tempered out...  Dare I point out that 16/15 only differs from the apotome by the ''schisma'', and as far as I'm concerned, 16/15 is a diatonic semitone... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 11:22, 19 September 2020 (UTC)
@@ Line 54: / Line 54: @@
 : So I'm in a program to add FJS names for intervals. I see [[11/10]] and [[20/11]] have inconsistent names. Currently I've added both to make them match, which may also need further discussion. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 07:21, 20 September 2020 (UTC)
+== Comma ==
+So if this is a formal comma in every major JI notation system, why is x31eq telling me it's so terrible to temper out? Why is it saying 729/704 is better? [[User:Bootmii|Bootmii]] ([[User talk:Bootmii|talk]]) 02:01, 21 April 2022 (UTC)
+: Not sure about ''better'' but it's not surprising that the error of {729/704} is lower than {33/32}. 729/704 is much more complex and only a little bit larger than 33/32, so the corresponding temperaments introduce about the same magnitude of displacement in the lattice, but {729/704} has a longer path to evenly distribute it out, which implies less error for each step.
+: If you enjoy more of this kind of convo plz consider joining our Dicord or FB group. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:58, 21 April 2022 (UTC)