User:Xenwolf/Fifthspan - Revision history

Xenwolf: /* EDO information */ reduced

2021-07-11T17:46:51Z

EDO information: reduced

← Older revision		Revision as of 17:46, 11 July 2021
Line 875:		Line 875:
	\|}		\|}

	== EDO information ==		== EDO information with fifthspans ==

	=== [[5edo]] ===		=== [[5edo]] ===
	{{Primes in edo_fs\|columns=9\|5}}		{{Primes in edo_fs\|columns=9\|5}}
	~~{{Primes in edo_fs\|columns=9\|5\|fs=1}}~~

	=== [[7edo]] ===		=== [[7edo]] ===
	{{Primes in edo_fs\|columns=9\|7}}		{{Primes in edo_fs\|columns=9\|7}}
	~~{{Primes in edo_fs\|columns=9\|7\|fs=1}}~~

	=== [[8edo]] ===		=== [[8edo]] ===
	{{Primes in edo_fs\|columns=9\|8}}		{{Primes in edo_fs\|columns=9\|8}}
	~~{{Primes in edo_fs\|columns=9\|title=[[8edo]]\|8\|fs=1}}~~

	=== [[9edo]] ===		=== [[9edo]] ===
	{{Primes in edo_fs\|columns=9\|9}}		{{Primes in edo_fs\|columns=9\|9}}
	~~{{Primes in edo_fs\|columns=9\|9\|fs=1}}~~

	=== [[11edo]] ===		=== [[11edo]] ===
	{{Primes in edo_fs\|columns=9\|11}}		{{Primes in edo_fs\|columns=9\|11}}
	~~{{Primes in edo_fs\|columns=9\|11\|fs=1}}~~

	=== [[12edo]] ===		=== [[12edo]] ===
	{{Primes in edo_fs\|columns=9\|12}}		{{Primes in edo_fs\|columns=9\|12}}
	~~{{Primes in edo_fs\|columns=9\|12\|fs=1}}~~

	=== [[13edo]] ===		=== [[13edo]] ===
	{{Primes in edo_fs\|columns=9\|13}}		{{Primes in edo_fs\|columns=9\|13}}
	~~{{Primes in edo_fs\|columns=9\|13\|fs=1}}~~

	=== [[16edo]] ===		=== [[16edo]] ===
	{{Primes in edo_fs\|columns=9\|16}}		{{Primes in edo_fs\|columns=9\|16}}
	~~{{Primes in edo_fs\|columns=9\|16\|fs=1}}~~

	=== [[17edo]] ===		=== [[17edo]] ===
	{{Primes in edo_fs\|columns=9\|17}}		{{Primes in edo_fs\|columns=9\|17}}
	~~{{Primes in edo_fs\|columns=9\|17\|fs=1}}~~

	=== [[18edo]] ===		=== [[18edo]] ===
	{{Primes in edo_fs\|columns=9\|18}}		{{Primes in edo_fs\|columns=9\|18}}
	~~{{Primes in edo_fs\|columns=9\|18\|fs=1}}~~

	=== [[19edo]] ===		=== [[19edo]] ===
	{{Primes in edo_fs\|columns=9\|19}}		{{Primes in edo_fs\|columns=9\|19}}
	~~{{Primes in edo_fs\|columns=9\|19\|fs=1}}~~

	=== [[22edo]] ===		=== [[22edo]] ===
	{{Primes in edo_fs\|columns=9\|22}}		{{Primes in edo_fs\|columns=9\|22}}
	~~{{Primes in edo_fs\|columns=9\|22\|fs=1}}~~

	=== [[23edo]] ===		=== [[23edo]] ===
	{{Primes in edo_fs\|columns=9\|23}}		{{Primes in edo_fs\|columns=9\|23}}
	~~{{Primes in edo_fs\|columns=9\|23\|fs=1}}~~

	=== [[26edo]] ===		=== [[26edo]] ===
	{{Primes in edo_fs\|columns=9\|26}}		{{Primes in edo_fs\|columns=9\|26}}
	~~{{Primes in edo_fs\|columns=9\|26\|fs=1}}~~

	=== [[27edo]] ===		=== [[27edo]] ===
	{{Primes in edo_fs\|columns=9\|27}}		{{Primes in edo_fs\|columns=9\|27}}
	~~{{Primes in edo_fs\|columns=9\|27\|fs=1}}~~

	=== [[29edo]] ===		=== [[29edo]] ===
	{{Primes in edo_fs\|columns=9\|29}}		{{Primes in edo_fs\|columns=9\|29}}
	~~{{Primes in edo_fs\|columns=9\|29\|fs=1}}~~

	=== [[31edo]] ===		=== [[31edo]] ===
	{{Primes in edo_fs\|columns=9\|31}}		{{Primes in edo_fs\|columns=9\|31}}
	~~{{Primes in edo_fs\|columns=9\|31\|fs=1}}~~

	=== [[39edo]] ===		=== [[39edo]] ===
	{{Primes in edo_fs\|columns=9\|39}}		{{Primes in edo_fs\|columns=9\|39}}
	~~{{Primes in edo_fs\|columns=9\|39\|fs=1}}~~

	=== [[41edo]] ===		=== [[41edo]] ===
	{{Primes in edo_fs\|columns=9\|41}}		{{Primes in edo_fs\|columns=9\|41}}
	~~{{Primes in edo_fs\|columns=9\|41\|fs=1}}~~

	=== [[46edo]] ===		=== [[46edo]] ===
	{{Primes in edo_fs\|columns=9\|46}}		{{Primes in edo_fs\|columns=9\|46}}
	~~{{Primes in edo_fs\|columns=9\|46\|fs=1}}~~

	=== [[53edo]] ===		=== [[53edo]] ===
	{{Primes in edo_fs\|columns=9\|53}}		{{Primes in edo_fs\|columns=9\|53}}
	~~{{Primes in edo_fs\|columns=9\|53\|fs=1}}~~

	== Separate mod steps ==		== Separate mod steps ==

Xenwolf: /* EDO information */ testing template:primes_in_edo_fs and module:primes_in_edo_fs

2021-07-11T17:18:04Z

EDO information: testing template:primes_in_edo_fs and module:primes_in_edo_fs

@@ Line 877: / Line 877: @@
 == EDO information ==
-{{Primes in edo|columns=9|title=[[5edo]] |5 }}
+=== [[5edo]] ===
-{{Primes in edo|columns=9|title=[[7edo]] |7 }}
+{{Primes in edo_fs|columns=9|5}}
-{{Primes in edo|columns=9|title=[[8edo]] |8 }}
+{{Primes in edo_fs|columns=9|5|fs=1}}
-{{Primes in edo|columns=9|title=[[9edo]] |9 }}
-{{Primes in edo|columns=9|title=[[11edo]]|11}}
+=== [[7edo]] ===
-{{Primes in edo|columns=9|title=[[12edo]]|12}}
+{{Primes in edo_fs|columns=9|7}}
-{{Primes in edo|columns=9|title=[[13edo]]|13}}
+{{Primes in edo_fs|columns=9|7|fs=1}}
-{{Primes in edo|columns=9|title=[[16edo]]|16}}
-{{Primes in edo|columns=9|title=[[17edo]]|17}}
+=== [[8edo]] ===
-{{Primes in edo|columns=9|title=[[18edo]]|18}}
+{{Primes in edo_fs|columns=9|8}}
-{{Primes in edo|columns=9|title=[[19edo]]|19}}
+{{Primes in edo_fs|columns=9|title=[[8edo]]|8|fs=1}}
-{{Primes in edo|columns=9|title=[[22edo]]|22}}
-{{Primes in edo|columns=9|title=[[23edo]]|23}}
+=== [[9edo]] ===
-{{Primes in edo|columns=9|title=[[26edo]]|26}}
+{{Primes in edo_fs|columns=9|9}}
-{{Primes in edo|columns=9|title=[[27edo]]|27}}
+{{Primes in edo_fs|columns=9|9|fs=1}}
-{{Primes in edo|columns=9|title=[[29edo]]|29}}
-{{Primes in edo|columns=9|title=[[31edo]]|31}}
+=== [[11edo]] ===
-{{Primes in edo|columns=9|title=[[39edo]]|39}}
+{{Primes in edo_fs|columns=9|11}}
-{{Primes in edo|columns=9|title=[[41edo]]|41}}
+{{Primes in edo_fs|columns=9|11|fs=1}}
-{{Primes in edo|columns=9|title=[[46edo]]|46}}
-{{Primes in edo|columns=9|title=[[53edo]]|53}}
+=== [[12edo]] ===
 == Separate mod steps ==

Xenwolf: /* Separate mod steps */ test: output of module with fifthspan optoin that's currently under construction

2021-07-11T14:34:46Z

Separate mod steps: test: output of module with fifthspan optoin that's currently under construction

@@ Line 1,030: / Line 1,030: @@
 | 1
 | 3
 |}

Xenwolf: /* Separate mod steps */ another example

2021-01-17T18:04:23Z

Separate mod steps: another example

← Older revision		Revision as of 18:04, 17 January 2021
Line 916:		Line 916:
	! prime 19		! prime 19
	! prime 23		! prime 23
	\|-		\|- class="thick-border" style="border-top: 2px solid #777"
	! rowspan="2" \| Error		! rowspan="2" \| Error
	! absolute ([[cent\|¢]])		! absolute ([[cent\|¢]])
Line 939:		Line 939:
	\| -21		\| -21
	\| +10		\| +10
	\|-		\|- class="thick-border" style="border-top: 2px solid #777"
	! rowspan="2" \| [[~~nearest edomapping~~\|Mapping]]		! rowspan="2" \| [[patent val\|Mapping]]
	! ~~[[patent val]]~~		! value
	\| '''17'''		\| '''17'''
	\| 27		\| 27
Line 962:		Line 962:
	\| 4		\| 4
	\| 9		\| 9
	\|-		\|- class="thick-border" style="border-top: 2px solid #777"
	! colspan="2" \| [[~~fifthspan~~]] (steps)		! colspan="2" \| [[Fifthspan]] (in steps)
	\| 0		\| 0
	\| '''1'''		\| '''1'''
Line 973:		Line 973:
	\| 14		\| 14
	\| 6		\| 6
			\|}

			{\| class="wikitable center-all"
	\|-		\|-
	~~! rowspan="2" colspan="2" \| fifthspan explained~~		\|+ Approximation of prime intervals in 12 EDO
	~~\| rowspan="2" \| -~~
	~~\| 10= '''1''' *10 %17~~
	~~\| 5= '''9''' *10 %17~~
	~~\| 14= '''15''' *10 %17~~
	~~\| 8= '''11''' *10 %17~~
	\| 12~~= '''8''' *10 %17~~
	~~\| 1= '''12''' *10 %17~~
	~~\| 4= '''14''' *10 %17~~
	~~\| 9= '''6''' *10 %17~~
	\|-		\|-
	\| 1= ~~10 *12 %17~~		! colspan="2" \| Prime interval
	\| 9= 5 *12 %17		! style="min-width: 3em" \| 2
	\| 15= ~~14 *12 %~~17		! style="min-width: 3em" \| 3
	\| 11= ~~8 *12~~ %17		! style="min-width: 3em" \| 5
	\| 8= 12 *12 ~~%17~~		! style="min-width: 3em" \| 7
	\| ~~12= 1 *12 %17~~		! style="min-width: 3em" \| 11
	\| ~~14=~~ 4 *12 %17		! style="min-width: 3em" \| 13
	\| 6~~= 9 *12 %17~~		! style="min-width: 3em" \| 17
			! style="min-width: 3em" \| 19
			\|-
			! rowspan="2" \| Error
			! absolute ([[cent\|¢]])
			\| 0.0
			\| -2.0
			\| +13.7
			\| +31.2
			\| +48.7
			\| -40.5
			\| -5.0
			\| +2.5
			\|-
			! [[Relative error\|relative]] (%)
			\| 0
			\| -2
			\| +14
			\| +31
			\| +49
			\| -41
			\| -5
			\| +2
			\|-
			! rowspan="2" \| Mapping
			! [[patent val]] ''v''
			\| 12
			\| 19
			\| 28
			\| 34
			\| 42
			\| 44
			\| 49
			\| 51
			\|-
			! [[Octave reduction\|''v'' mod 12]]
			\| 0
			\| 7
			\| 4
			\| 10
			\| 6
			\| 8
			\| 1
			\| 3
	\|}		\|}

Xenwolf: /* Fifthspan examples */ clarified explanation of rings

2021-01-17T16:41:09Z

Fifthspan examples: clarified explanation of rings

Show changes

Xenwolf: /* Fifthspan examples */ added ringiness details

2021-01-17T13:49:55Z

Fifthspan examples: added ringiness details

Show changes

Xenwolf: /* Fifthspan examples */ expanded from 1 to 99edo

2021-01-17T13:26:19Z

Fifthspan examples: expanded from 1 to 99edo

Show changes

Xenwolf: /* Separate mod steps */ better naming of rows ("patent val", "~ (mod $edo)")

2021-01-15T08:01:08Z

Separate mod steps: better naming of rows ("patent val", "~ (mod $edo)")

← Older revision		Revision as of 08:01, 15 January 2021
Line 375:		Line 375:
	\|-		\|-
	! rowspan="2" \| [[nearest edomapping\|Mapping]]		! rowspan="2" \| [[nearest edomapping\|Mapping]]
	! ~~steps~~		! [[patent val]]
	\| '''17'''		\| '''17'''
	\| 27		\| 27
Line 386:		Line 386:
	\| 77		\| 77
	\|-		\|-
	! [[octave reduction\|mod 17]]		! [[octave reduction\|~ (mod 17)]]
	\| 0		\| 0
	\| '''10'''		\| '''10'''

Xenwolf: /* Fifthspan examples */ completed to 23-p-limit, +todo

2021-01-14T20:47:25Z

Fifthspan examples: completed to 23-p-limit, +todo

← Older revision		Revision as of 20:47, 14 January 2021
Line 36:		Line 36:
	\| 0		\| 0
	\| +2		\| +2
			\| +1
	\|-		\|-
	! [[7edo]]		! [[7edo]]
Line 45:		Line 46:
	\| -1		\| -1
	\| +3		\| +3
			\| +2
			\| -3
			\| +1
	\|-		\|-
	! [[8edo]]		! [[8edo]]
Line 56:		Line 60:
	\| -3		\| -3
	\| +2		\| +2
			\| +4
	\|-		\|-
	! [[9edo]]		! [[9edo]]
Line 67:		Line 72:
	\| +2		\| +2
	\| +4		\| +4
			\| +1
	\|-		\|-
	! [[11edo]]		! [[11edo]]
Line 78:		Line 84:
	\| +2		\| +2
	\| -5		\| -5
			\| +1
	\|-		\|-
	! [[12edo]]		! [[12edo]]
Line 89:		Line 96:
	\| -5		\| -5
	\| -3		\| -3
			\| +6
	\|-		\|-
	! [[13edo]]		! [[13edo]]
Line 112:		Line 120:
	\| -7		\| -7
	\| +4		\| +4
			\| +8
	\|-		\|-
	! [[17edo]]		! [[17edo]]
Line 133:		Line 142:
	\| +4		\| +4
	\| -7		\| -7
			\| -8
			\| +2
			\| +9
	\|-		\|-
	! [[19edo]]		! [[19edo]]
Line 142:		Line 154:
	\| +6		\| +6
	\| -4		\| -4
			\| -5
			\| -3
	\| -6		\| -6
	\|-		\|-
Line 151:		Line 165:
	\| -2		\| -2
	\| -6		\| -6
	\| -4		\| -9
	\| -10		\| -10
			\| -3
			\| +6
	\|-		\|-
	! [[23edo]]		! [[23edo]]
Line 188:		Line 204:
	\| -10		\| -10
	\| -8		\| -8
			\| +11
	\|-		\|-
	! [[29edo]]		! [[29edo]]
Line 197:		Line 214:
	\| +11		\| +11
	\| +8		\| +8
			\| +7
			\| -3
			\| +6
	\|-		\|-
	! [[31edo]]		! [[31edo]]
Line 209:		Line 229:
	\| -3		\| -3
	\| -6		\| -6
			\|-
			! [[32edo]]
			\| todo
			\|-
			! [[33edo]]
			\| todo
			\|-
			! [[37edo]]
			\| todo
	\|-		\|-
	! [[39edo]]		! [[39edo]]
Line 220:		Line 249:
	\| +12		\| +12
	\| +14		\| +14
			\| -11
			\|-
			! [[40edo]]
			\| todo
	\|-		\|-
	! [[41edo]]		! [[41edo]]
Line 231:		Line 264:
	\| +7		\| +7
	\| -3		\| -3
			\| +6
			\|-
			! [[42edo]]
			\| todo
			\|-
			! [[43edo]]
			\| todo
			\|-
			! [[45edo]]
			\| todo
	\|-		\|-
	! [[46edo]]		! [[46edo]]
Line 243:		Line 286:
	\| -3		\| -3
	\| +6		\| +6
			\|-
			! [[47edo]]
			\| todo
			\|-
			! [[49edo]]
			\| todo
			\|-
			! [[50edo]]
			\| todo
	\|-		\|-
	! [[53edo]]		! [[53edo]]

Xenwolf: added another table

2021-01-13T22:05:14Z

added another table

@@ Line 375: / Line 375: @@
 | 14= 4 *12 %17
 | 6= 9 *12 %17
 |}