User:FloraC/Reasonable commas - Revision history

FloraC at 18:47, 30 May 2022

2022-05-30T18:47:56Z

@@ Line 24: / Line 24: @@
 | 10/9 || {{monzo| 1 -2 1 }} || Classic major second
 |-
-| 16/15 || {{monzo| 4 -1 -1 }} || Classic minor second
+| 16/15 || {{monzo| 4 -1 -1 }} || Father comma
 |-
-| 25/24 || {{monzo| -3 -1 2 }} || Classic chroma
+| 25/24 || {{monzo| -3 -1 2 }} || Dicot comma
 |-
-| 27/25 || {{monzo| 0 -3 2 }} || Large limma
+| 27/25 || {{monzo| 0 -3 2 }} || Bug comma
 |-
 | 81/80 || {{monzo| -4 4 -1 }} || Syntonic comma
 |-
-| 128/125 || {{monzo| 7 0 -3 }} || Diesis
+| 128/125 || {{monzo| 7 0 -3 }} || Augmented comma
 |-
 | 250/243 || {{monzo| 1 -5 3 }} || Porcupine comma
@@ Line 69: / Line 69: @@
 |-
 | 450359962737049600/450283905890997363 || {{monzo| 54 -37 2 }} || Monzisma
 |}

FloraC: Our defs are not equivalent... that's why the list is different :)

2022-05-15T13:05:36Z

Our defs are not equivalent... that's why the list is different :)

← Older revision		Revision as of 13:05, 15 May 2022
Line 1:		Line 1:
	Thanks to @Dead Shaman.		Thanks to @Dead Shaman.

	A reasonable comma in a ~~subgroup~~ is one which cannot be factored into two simpler commas.		Dead Shaman defines the reasonable comma as one such that there is not a number between the numerator and denominator which is in the subgroup.

			My redefinition: a reasonable comma is one which cannot be factored into two simpler commas in a given subgroup.

	{\| class="wikitable"		{\| class="wikitable"

FloraC: Names

2022-05-15T12:58:44Z

Names

← Older revision		Revision as of 12:58, 15 May 2022
Line 8:		Line 8:
	! Ratio !! Monzo !! Name		! Ratio !! Monzo !! Name
	\|-		\|-
	\| 2/1 \|\| {{monzo\| 1 }} \|\| ~~Perfect octave~~		\| 2/1 \|\| {{monzo\| 1 }} \|\| Octave
	\|-		\|-
	\| 3/2 \|\| {{monzo\| -1 1 }} \|\| Perfect fifth		\| 3/2 \|\| {{monzo\| -1 1 }} \|\| Perfect fifth
Line 26:		Line 26:
	\| 25/24 \|\| {{monzo\| -3 -1 2 }} \|\| Classic chroma		\| 25/24 \|\| {{monzo\| -3 -1 2 }} \|\| Classic chroma
	\|-		\|-
	\| 27/25 \|\| {{monzo\| 0 -3 2 }} \|\| ~~Major~~ limma		\| 27/25 \|\| {{monzo\| 0 -3 2 }} \|\| Large limma
	\|-		\|-
	\| 81/80 \|\| {{monzo\| -4 4 -1 }} \|\| Syntonic comma		\| 81/80 \|\| {{monzo\| -4 4 -1 }} \|\| Syntonic comma

FloraC: Created page with "Thanks to @Dead Shaman. A reasonable comma in a subgroup is one which cannot be factored into two simpler commas. {| class="wikitable" |+ List of 5-limit reasonable commas..."

2022-05-15T12:56:34Z

Created page with "Thanks to @Dead Shaman. A reasonable comma in a subgroup is one which cannot be factored into two simpler commas. {| class="wikitable" |+ List of 5-limit reasonable commas..."

New page

Thanks to @Dead Shaman.

A reasonable comma in a subgroup is one which cannot be factored into two simpler commas.

{| class="wikitable"
|+ List of 5-limit reasonable commas
|-
! Ratio !! Monzo !! Name
|-
| 2/1 || {{monzo| 1 }} || Perfect octave
|-
| 3/2 || {{monzo| -1 1 }} || Perfect fifth
|-
| 4/3 || {{monzo| 2 -1 }} || Perfect fourth
|-
| 5/4 || {{monzo| -2 0 1 }} || Classic major third
|-
| 6/5 || {{monzo| 1 1 -1 }} || Classic minor third
|-
| 9/8 || {{monzo| -3 2 }} || Major second
|-
| 10/9 || {{monzo| 1 -2 1 }} || Classic major second
|-
| 16/15 || {{monzo| 4 -1 -1 }} || Classic minor second
|-
| 25/24 || {{monzo| -3 -1 2 }} || Classic chroma
|-
| 27/25 || {{monzo| 0 -3 2 }} || Major limma
|-
| 81/80 || {{monzo| -4 4 -1 }} || Syntonic comma
|-
| 128/125 || {{monzo| 7 0 -3 }} || Diesis
|-
| 250/243 || {{monzo| 1 -5 3 }} || Porcupine comma
|-
| 2048/2025 || {{monzo| 11 -4 -2 }} || Diaschisma
|-
| 3125/3072 || {{monzo| -10 -1 5 }} || Magic comma
|-
| 15625/15552 || {{monzo| -6 -5 6 }} || Kleisma
|-
| 20000/19683 || {{monzo| 5 -9 4 }} || Tetracot comma
|-
| 32805/32768 || {{monzo| -15 8 1 }} || Schisma
|-
| 78732/78125 || {{monzo| 2 9 -7 }} || Sensipent comma
|-
| 393216/390625 || {{monzo| 17 1 -8 }} || Würschmidt comma
|-
| 1600000/1594323 || {{monzo| 9 -13 5 }} || Amity comma
|-
| 1224440064/1220703125 || {{monzo| 8 14 -13 }} || Parakleisma
|-
| 4294967296/4271484375 || {{monzo| 32 -7 -9 }} || Escapade comma
|-
| 6115295232/6103515625 || {{monzo| 23 6 -14 }} || Vishnuzma
|-
| 10485760000/10460353203 || {{monzo| 24 -21 4 }} || Vulture comma
|-
| 274877906944/274658203125 || {{monzo| 38 -2 -15 }} || Luna comma
|-
| 7629394531250/7625597484987 || {{monzo| 1 -27 18 }} || Ennealimma
|-
| 9010162353515625/9007199254740992 || {{monzo| -53 10 16 }} || Kwazy comma
|-
| 50031545098999707/50000000000000000 || {{monzo| -16 35 -17 }} || Minortone comma
|-
| 450359962737049600/450283905890997363 || {{monzo| 54 -37 2 }} || Monzisma
|}