Comma and diesis: Difference between revisions

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| Cents upper=40

| Cents upper wide=60

| JI intervals=128/125~~, 81/80~~

| JI intervals=81/80, 128/125

| Complement=(Imperfect) [[octave]]

| Lower region=[[Unison]]

| Higher region=[[Semitone (interval region)|Semitone]]

}}

'''Comma''' and '''diesis''' are two terms used to refer to intervals that are less than about 60{{cent}} in size. In terms of [[interval region]]s, "comma" refers to an interval flatter than about 30{{cent}}, and "diesis" refers to an interval between about 30 and 60{{cent}}. In [[Sagittal notation]], a comma is specifically defined as between half of the [[Pythagorean comma]] {{monzo| -19 12}} and half of the Pythagorean 17-fifths diesis {{monzo| 27 -17}}, about 11.7{{c}} to 33.4{{c}}, and a diesis is defined as between the comma upper bound and half of the Pythagorean 19-fifths apotome-plus-comma {{monzo| -30 19}}, about 68.6{{c}}.

"Comma" and "diesis" are two terms used to refer to intervals that are less than about 60{{cent}} in size. In terms of [[interval region]]s, "comma" refers to an interval flatter than about 30{{cent}}, and "diesis" refers to an interval between about 30 and 60{{cent}}. In Sagittal notation, a comma is specifically defined as between half of the Pythagorean comma [-19 ~~12⟩~~ and half of the ~~pythagorean~~ 17-fifths diesis [27 -~~17⟩~~, about 11.7{{c}} to 33.4{{c}}, and a diesis is defined as between the comma upper bound and half of the ~~pythagorean~~ 19-fifths apotome-plus-comma [-30 ~~19⟩~~, about 68.6{{c}}.

"[[Comma]]" also refers to an interval that is tempered out by any given [[temperament]].

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As comma and diesis is the smallest interval class, it may be represented by:

* Any superparticular interval smaller than 29/28

* Any delta-1 (i.e. superparticular) interval smaller than 29/28

* Any delta-2 interval smaller than 57/55

* Any delta-3 interval smaller than 88/85

@@ Line 5: / Line 5: @@
 | Cents upper=40
 | Cents upper wide=60
-| JI intervals=128/125, 81/80
+| JI intervals=81/80, 128/125
 | Complement=(Imperfect) [[octave]]
 | Lower region=[[Unison]]
 | Higher region=[[Semitone (interval region)|Semitone]]
 }}
+'''Comma''' and '''diesis''' are two terms used to refer to intervals that are less than about 60{{cent}} in size. In terms of [[interval region]]s, "comma" refers to an interval flatter than about 30{{cent}}, and "diesis" refers to an interval between about 30 and 60{{cent}}. In [[Sagittal notation]], a comma is specifically defined as between half of the [[Pythagorean comma]] {{monzo| -19 12}} and half of the Pythagorean 17-fifths diesis {{monzo| 27 -17}}, about 11.7{{c}} to 33.4{{c}}, and a diesis is defined as between the comma upper bound and half of the Pythagorean 19-fifths apotome-plus-comma {{monzo| -30 19}}, about 68.6{{c}}.
-"Comma" and "diesis" are two terms used to refer to intervals that are less than about 60{{cent}} in size. In terms of [[interval region]]s, "comma" refers to an interval flatter than about 30{{cent}}, and "diesis" refers to an interval between about 30 and 60{{cent}}. In Sagittal notation, a comma is specifically defined as between half of the Pythagorean comma [-19 12⟩ and half of the pythagorean 17-fifths diesis [27 -17⟩, about 11.7{{c}} to 33.4{{c}}, and a diesis is defined as between the comma upper bound and half of the pythagorean 19-fifths apotome-plus-comma [-30 19⟩, about 68.6{{c}}.
 "[[Comma]]" also refers to an interval that is tempered out by any given [[temperament]].
@@ Line 34: / Line 33: @@
 As comma and diesis is the smallest interval class, it may be represented by:
-* Any superparticular interval smaller than 29/28
+* Any delta-1 (i.e. superparticular) interval smaller than 29/28
 * Any delta-2 interval smaller than 57/55
 * Any delta-3 interval smaller than 88/85