Talk:Extended meantone notation: Difference between revisions
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Then if you want the thing I was calling a kleisma (sometimes called a "lesser diesis"), I think that would be interval between E and E#v, right? [[User:Battaglia01|Mike Battaglia]] ([[User talk:Battaglia01|talk]]) 06:46, 24 September 2018 (UTC) | Then if you want the thing I was calling a kleisma (sometimes called a "lesser diesis"), I think that would be interval between E and E#v, right? [[User:Battaglia01|Mike Battaglia]] ([[User talk:Battaglia01|talk]]) 06:46, 24 September 2018 (UTC) | ||
:Yes. A sharp is 7 fifths up, a diesis down is 12 fifths up, and a kleisma up is 19 fifths up. A diesis and kleisma added together are a sharp. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 07:06, 24 September 2018 (UTC) | :Yes. A sharp is 7 fifths up, a diesis down is 12 fifths up, and a kleisma up is 19 fifths up. A diesis and kleisma added together are a sharp. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 07:06, 24 September 2018 (UTC) | ||
::I really think it may be best to simply notate the diesis as C-Dbb, rather than C-C^ or anything else. For two reasons: first, from a "tonal" standpoint, that that's what this interval really is: a double diminished second. Consider the chord progression Cmaj -> Am -> Emaj -> C#m -> G#maj -> E#m -> B#maj -- you have now modulated and are a diesis lower than you started. But this interval may be different sizes in different tunings, and flatter than 19-EDO, the diesis is larger than the chromatic semitone! But even though it is larger, you can still "feel" that you have modulated to the "same place" on the chain of fifths, so there is an interesting perceptual effect there. This is true even if you do the above chord progression in a flattone tuning like 26-EDO for instance, where it's 92 cents, or in a superpyth tuning like 17-EDO, where it's -70 cents! So while the diesis may change in size - it always "feels" like a diesis - much like a chromatic semitone always "feels" like a chromatic semitone whether it's 19-EDO or 17-EDO. But, just my thought... [[User:Battaglia01|Mike Battaglia]] ([[User talk:Battaglia01|talk]]) 07:26, 24 September 2018 (UTC) | |||