User:Hotcrystal0/Temperaments - Revision history

Hotcrystal0: Whoops, inserted commas in the wrong spot

2026-06-24T00:32:00Z

Whoops, inserted commas in the wrong spot

@@ Line 1: / Line 1: @@
 This page is for hotcrystal0's temperament research.
 ==Commas==
@@ Line 28: / Line 54: @@
 |Comma = yes
 }}

Hotcrystal0 at 00:31, 24 June 2026

2026-06-24T00:31:25Z

← Older revision		Revision as of 00:31, 24 June 2026
Line 1:		Line 1:
	This page is for hotcrystal0's temperament research.		This page is for hotcrystal0's temperament research.

			==Commas==

			{{Infobox Interval\|debug=1
			\|Ratio = 10763703445887/10737418240000
			\|Monzo = -34 22 -4 3
			\|Name = Unnamed 159 & 166 & 171 comma
			\|Comma = yes
			}}

			{{Infobox Interval\|debug=1
			\|Monzo = -79 29 0 13 -1
			\|Name = Unnamed difference between 13 64/63 and 27/22
			\|Comma = yes
			}}

			{{Infobox Interval\|debug=1
			\|Ratio = 55788550416/55783203125
			\|Monzo = 4 20 -9 0 0 -4
			\|Name = Unnamed difference between 4 325/324 and 81/80
			\|Comma = yes
			}}

			{{Infobox Interval\|debug=1
			\|Monzo = -55 -26 0 0 0 26
			\|Name = Unnamed difference between 26 13/12 and 3 octaves
			\|Comma = yes
			}}

	==Rank-2==		==Rank-2==

Hotcrystal0 at 00:28, 24 June 2026

2026-06-24T00:28:05Z

@@ Line 4: / Line 4: @@
 === Tridecapyth ===
-[[Subgroup]]: 2.3.13
+See [[Tridecapyth comma#Tridecapyth]].
 ==Rank-3==

Hotcrystal0 at 12:34, 9 May 2026

2026-05-09T12:34:23Z

← Older revision		Revision as of 12:34, 9 May 2026
Line 2:		Line 2:

	==Rank-2==		==Rank-2==

			=== Tridecapyth ===
			Tridecapyth equates a stack of twenty [[3/2]] octave-reduced with [[13/8]], or alternatively two [[pythagorean comma]]s with [[1053/1024]].

			[[Subgroup]]: 2.3.13

			[[Comma list]]: 3489660928/3486784401

			{{Mapping\|legend=2\| [unfinished] \| }}
			: mapping generators: ~2, ~3/2

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.978{{c}}, ~3/2 = 702.017{{c}}
			: [[error map]]: {{val\| -0.022, +0.040, -0.011 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.028{{c}}
			: error map: {{val\| 0.000, +0.073, +0.039 }}

			{{Optimal ET sequence\|legend=1\| 12, 29f, 41, 53, 94, 147, 494, 641, 788, 2217, 3005 }}

			[[Badness]] (Sintel): 0.211

	==Rank-3==		==Rank-3==

Hotcrystal0: Created page with "This page is for hotcrystal0's temperament research. ==Rank-2== ==Rank-3== ===Unnamed 159 & 166 & 171=== Subgroup: 2.3.5.7 Comma list: 10763703445887/10737418240000 {{Mapping|legend=1| 1 0 0 | 1 1 0 | 3 1 -3 | 8 -6 -4 }} Optimal tunings: * WE: ~2 = 1200.057{{c}}, ~3/2 = 701.806{{c}}, ~20480/15309 = 505.209{{c}} : error map: {{val| +0.057 -0.093 +0.036 -0.040 }} * CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.777{{c}}, ~20480/15309 = 505.167{{c}} : e..."

2026-04-22T20:48:50Z

Created page with "This page is for hotcrystal0's temperament research. ==Rank-2== ==Rank-3== ===Unnamed 159 & 166 & 171=== Subgroup: 2.3.5.7 Comma list: 10763703445887/10737418240000 {{Mapping|legend=1| 1 0 0 | 1 1 0 | 3 1 -3 | 8 -6 -4 }} Optimal tunings: * WE: ~2 = 1200.057{{c}}, ~3/2 = 701.806{{c}}, ~20480/15309 = 505.209{{c}} : error map: {{val| +0.057 -0.093 +0.036 -0.040 }} * CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.777{{c}}, ~20480/15309 = 505.167{{c}} : e..."

New page

This page is for hotcrystal0's temperament research.

==Rank-2==

==Rank-3==

===Unnamed 159 & 166 & 171===

[[Subgroup]]: 2.3.5.7

[[Comma list]]: 10763703445887/10737418240000

{{Mapping|legend=1| 1 0 0 | 1 1 0 | 3 1 -3 | 8 -6 -4 }}

[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.057{{c}}, ~3/2 = 701.806{{c}}, ~20480/15309 = 505.209{{c}}
: [[error map]]: {{val| +0.057 -0.093 +0.036 -0.040 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.777{{c}}, ~20480/15309 = 505.167{{c}}
: error map: {{val| 0.000 -0.178 -0.039 -0.155 }}

{{Optimal ET sequence|legend=1| [to be finished] }}

[[Badness]] (Sintel): [to be finished]

==Rank-4==