User:Akselai/SandBox - Revision history

Akselai at 09:53, 28 April 2024

2024-04-28T09:53:20Z

← Older revision		Revision as of 09:53, 28 April 2024
Line 165:		Line 165:
	== aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh ==		== aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh ==
	{{Rank-n scale\|aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh}}		{{Rank-n scale\|aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh}}

			== the most useless temperament(s) in all of xen history ==
			=== Rank-2 ===
			==== Microphone ====
			{{see also\| 44th-octave temperaments}}

			This temperament additionally tempers out the parismina [1 -26 0 2 10⟩, which is even smaller than the blare comma. Surprisingly, this temperament admits an optimal generator very close to [[3/2]].

			[[Subgroup]]: 2.9.7.11 (lol wrong!! should have been 2.3.7.11 instead)

			[[Comma list]]: {{monzo\| -52 2 0 10 6 }}, {{monzo\| 1 -26 0 2 10 }}

			{{Mapping\|legend=2\| 44 88 175 75 \| 0 2 -2 3 }}

			[[Optimal tuning]]s:
			* [[CTE]]: ~64/63 = 1\44 = 27.273, ~{{monzo\| 25 0 0 -5 -3 }} = 701.953

			{{Optimal ET sequence\|legend=1\| 176, 484, 660, 836, 1012, 1848, 4708, 6556, 11264, 17820, 29084, 46904, 75988, 122892}}

			[[Badness]] (Smith): 2.466 × 10<sup>-3</sup>

Akselai at 11:19, 19 April 2024

2024-04-19T11:19:13Z

← Older revision		Revision as of 11:19, 19 April 2024
Line 154:		Line 154:
	\| +5:9, +4+5, +1+1 (L:s≒3:1)		\| +5:9, +4+5, +1+1 (L:s≒3:1)
	\|}		\|}

			= some well known scales =

			{{Rank-n scale\|LmLsLsLmLss}}
			{{Rank-n scale\|SLMLSLMLSL}}
			{{Rank-n scale\|mLLsLmLsL}}
			{{Rank-n scale\|xyzxyxyz}}
			{{Rank-n scale\|aabab}}

			== aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh ==
			{{Rank-n scale\|aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh}}

Akselai at 16:39, 4 March 2024

2024-03-04T16:39:53Z

← Older revision		Revision as of 16:39, 4 March 2024
Line 101:		Line 101:
	\|\| ovb \| \| • \| • • \| • \| • \| • • • \| • • • \|		\|\| ovb \| \| • \| • • \| • \| • \| • • • \| • • • \|
	</syntaxhighlight>		</syntaxhighlight>

			https://en.xen.wiki/w/Modeless_Interchange

			{\| class="wikitable"
			\|-
			!
			! [[1L 6s]]
			! [[2L 5s]]
			! [[3L 4s]]
			! [[4L 3s]]
			! [[5L 2s]]
			! [[6L 1s]]
			\|-
			\| Bright generator range
			\| 6\7 < ''g'' < 1\1
			\| 3\7 < ''g'' < 1\2
			\| 2\7 < ''g'' < 1\3
			\| 5\7 < ''g'' < 3\4
			\| 4\7 < ''g'' < 3\5
			\| 1\7 < ''g'' < 1\6
			\|-
			\| Possible 0-2-4 chords
			\|
			\|
			\|
			\|
			\|
			\| '''1:''g''<sup>2</sup>:''g''<sup>4</sup>''', 1:''g''<sup>2</sup>:2''g''<sup>-3</sup>, 1:2''g''<sup>-5</sup>:2''g''<sup>-3</sup>
			\|-
			\| Ideal Δ-ratio
			\| +2 +3, +5 +6, +1 +1
			\| +2 +3, +4 +5, +1 +1
			\| +1 +2, +5 +6, +1 +5
			\| +1 +2, +5 +6, +3 +1
			\| +2 +3, +5 +6, +1 +1
			\| +4 +5, +6 +5, +1 +2
			\|-
			\| Optimal value of ''g''
			\|
			\|
			\|
			\|
			\|
			\| 1.1180, 1.1146, 1.1183
			\|-
			\| in [[19edo]]
			\| +4+1, +1+3, +1+1 (L:s=7:2)
			\| +5+1, +3+10, +1+1 (L:s=7:1)
			\| +5+1, +4+5, +5+4 (L:s=5:1)
			\| +1+2, +4+5, +6+5 (L:s=4:1)
			\| +2+3, +5+6, +1+1 (L:s≒3:2)
			\| +5:9, +4+5, +1+1 (L:s≒3:1)
			\|}

Akselai at 00:06, 27 January 2024

2024-01-27T00:06:52Z

← Older revision		Revision as of 00:06, 27 January 2024
Line 91:		Line 91:
	[13edo] [21221212] [6\13 higher than written]		[13edo] [21221212] [6\13 higher than written]

	\|\| \| \| \| \| ~~· ··~~ \| ~~· ·~~ ~~· ···~~ \| · \| \|		\|\| \| \| \| \| • •• \| • • • ••• \| • \| \|
	\|\| 1234 \| 5 3 6 4 3 1 \|&812 -123 4567 \|&8 6 4 6 7 6 \| 5345 6 7&8 1 23 \| 4 2 &8 2 3218 \| 1 7 5 7 &8765 \| 7 4 2 6 5432 \|		\|\| 1234 \| 5 3 6 4 3 1 \|&812 -123 4567 \|&8 6 4 6 7 6 \| 5345 6 7&8 1 23 \| 4 2 &8 2 3218 \| 1 7 5 7 &8765 \| 7 4 2 6 5432 \|
	3 \|\|: ════ \| ――― ――― ――― \| ══― ════ ════ \| ――― ――― ――― \| ════ ――═══ ――══ \| ――― ――― ════ \| ――― ――― ════ \| ――― ――― ════ \|		3 \|\|• ════ \| ――― ――― ――― \| ══― ════ ════ \| ――― ――― ――― \| ════ ――═══ ――══ \| ――― ――― ════ \| ――― ――― ════ \| ――― ――― ════ \|
	\|\| \| \| · \| \| \| \| \| \|		\|\| \| \| • \| \| \| \| \| \|
	- \|\| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.		--- \|\|• ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.
	\|\| \| \| \| \| \| \| \| \|		\|\| \| \| \| \| \| \| \| \|
	4 \|\|: 0 \| 1 2 3 \| 4 2 &8 \| 2 6 ♮8 12 \| 3· 2 1 7 \|&8· 3 1 \| 5· &8 6 \| 2· 5 3 \|		4 \|\|• 0 \| 1 2 3 \| 4 2 &8 \| 2 6 ♮8 12 \| 3• 2 1 7 \|&8• 3 1 \| 5• &8 6 \| 2• 5 3 \|
	\|\| ~~ovb~~ \| \| · \| · ――══ \| ― ――― \| · ― \| · ― · \| · ― \|		\|\| \| \| \| ――══ \| ― ――― \| ― \| ― \| ― \|
	\|\| \| \| \| · \| · \| \| · \| ~~· ·~~ \|		\|\| ovb \| \| • \| • • \| • \| • \| • • • \| • • • \|
	</syntaxhighlight>		</syntaxhighlight>

Akselai at 22:46, 26 January 2024

2024-01-26T22:46:02Z

← Older revision		Revision as of 22:46, 26 January 2024
Line 87:		Line 87:
	Numbered Musical Notation		Numbered Musical Notation
	<syntaxhighlight>		<syntaxhighlight>
	~~u+0307 dot above 0̇1̇2̇3̇4̇5̇6̇7̇8̇9̇0̇̇1̇̇2̇̇3̇̇4̇̇5̇̇6̇̇7̇̇8̇̇9̇̇~~
	~~u+0323 dot below 0̣1̣2̣3̣4̣5̣6̣7̣8̣9̣0̣̣1̣̣2̣̣3̣̣4̣̣5̣̣6̣̣7̣̣8̣̣9̣̣~~
	WT13C XII Prelude Example (Diamond MOS accidentals)		WT13C XII Prelude Example (Diamond MOS accidentals)
			(ovb = 2/1 ("octave") lower)
	[13edo] [21221212] [6\13 higher than written]		[13edo] [21221212] [6\13 higher than written]

	\|\| 1234 \| 5 3 6 4 3 1 \|&~~8̣12~~ -123 4567 \|&8 6 4 6 7 6		\|\| \| \| \| \| · ·· \| · · · ··· \| · \| \|
	3 \|\|: ~~====~~ \| ~~--- --- ---~~ \| ~~==- ==== ====~~ \| ~~--- --- ---~~		\|\| 1234 \| 5 3 6 4 3 1 \|&812 -123 4567 \|&8 6 4 6 7 6 \| 5345 6 7&8 1 23 \| 4 2 &8 2 3218 \| 1 7 5 7 &8765 \| 7 4 2 6 5432 \|
	- \|\| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~		3 \|\|: ════ \| ――― ――― ――― \| ══― ════ ════ \| ――― ――― ――― \| ════ ――═══ ――══ \| ――― ――― ════ \| ――― ――― ════ \| ――― ――― ════ \|
	~~4 \|\|: 0 \| 1 2 3 \| 4 2 &8̣ \| 2 6̣ ♮8̣ 12~~		\|\| \| \| · \| \| \| \| \| \|
	~~\|\| \| \| \| --==~~		- \|\| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.
			\|\| \| \| \| \| \| \| \| \|
	~~################################################################~~		4 \|\|: 0 \| 1 2 3 \| 4 2 &8 \| 2 6 ♮8 12 \| 3· 2 1 7 \|&8· 3 1 \| 5· &8 6 \| 2· 5 3 \|
			\|\| ovb \| \| · \| · ――══ \| ― ――― \| · ― \| · ― · \| · ― \|
	~~5345 6 7&8 1̇ 2̇3̇ \| 4̇ 2̇ &8 2̇ 3̇2̇1̇8 \| 1̇ 7 5 7 &8765 \| 7 4 2 6 5432~~		\|\| \| \| \| · \| · \| \| · \| · · \|
	~~==== --=== --== \| --- --- ==== \| --- --- ==== \| --- --- ====~~
	~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.
	3 - 2 1 7̣ \|&~~8̣ -~~ 3 1 \| 5̣ -&8̣ 6 \| ~~2̣ - 5̣ 3̣~~
	~~---~~ ~~---~~ \| ~~---~~ \| ~~---~~ \| ~~---~~
	</syntaxhighlight>		</syntaxhighlight>

Akselai at 22:27, 26 January 2024

2024-01-26T22:27:27Z

@@ Line 84: / Line 84: @@
 print([i / gcd(c) for i in c])
 print([c[i+1]-c[i] for i in range(len(c)-1)])
 </syntaxhighlight>

Akselai: Created page with "{{Step vis|3 1/4 1/16 1/4 2 1 0 8}} ├──┼─┼╫┼───────┤ {| class="wikitable" |+3:4:6 truncated linear fractal scales !Order !Number of steps !Ste..."

2024-01-17T10:59:44Z

Created page with "{{Step vis|3 1/4 1/16 1/4 2 1 0 8}} ├──┼─┼╫┼───────┤ {| class="wikitable" |+3:4:6 truncated linear fractal scales !Order !Number of steps !Ste..."

New page

{{Step vis|3 1/4 1/16 1/4 2 1 0 8}}
├──┼─┼╫┼───────┤

{| class="wikitable"
|+3:4:6 truncated linear fractal scales
!Order
!Number of steps
!Step visualization
!Chord
!Intervals < 1/16
|-
|0
|1
|├───────────────────────────────────────────────────────────────┤
|1:2
|1
|-
|1
|2
|├────────────────────┼──────────────────────────────────────────┤
|3:4:6
|1/3 2/3
|-
|2
|4
|├──────┼─────────────┼─────────────┼────────────────────────────┤
|9:10:12:14:18
|1/9 2/9 4/9
|-
|3
|8
|├─┼────┼────┼────────┼────┼────────┼────────┼───────────────────┤
|27:28:30:32:36:38:42:46:54
|2/27 4/27 8/27
|-
|4
|15
|├─┼─┼──┼─┼──┼──┼─────┼─┼──┼──┼─────┼──┼─────┼─────┼─────────────┤
|81:84:86:90:92:96:100:108:110:114:118:126:130:138:146:162
|8/81 16/81
|-
|5
|20
|├─┼─┼──┼─┼──┼──┼─┼───┼─┼──┼──┼─┼───┼──┼─┼───┼─┼───┼───┼─────────┤
|243:252:258:270:276:288:300:308:324:330:342:
354:362:378:390:398:414:422:438:454:486
|16/243 32/243
|-
|6
|26
|├─┼─┼──┼─┼──┼──┼─┼┼──┼─┼──┼──┼─┼┼──┼──┼─┼┼──┼─┼┼──┼┼──┼──┼──────┤
|729:756:774:810:828:864:900:924:940:972:990:1026:1062:1086:1102:
1134:1170:1194:1210:1242:1266:1282:1314:1330:1362:1394:1458
|64/729
|-
|7
|27
|├─┼─┼──┼─┼──┼──┼─┼┼──┼─┼──┼──┼─┼┼──┼──┼─┼┼──┼─┼┼──┼┼──┼──┼─┼────┤
|2187:2268:2322:2430:2484:2592:2700:2772:2820:2916:2970:3078:3186:3258:
3306:3402:3510:3582:3630:3726:3798:3846:3942:3990:4086:4182:4246:4374
|none
|}

<syntaxhighlight lang="python">
order = 8
ratio = [0, 1/3]
# the "shape" of the ratio, only input integers please.
# [a, b] corresponds to the ratio 1:2^{a/(a+b)}:2,
# [a, b, c] corresponds to the ratio 1:2^{a/(a+b+c)}:2^{(a+b)/(a+b+c)}:2, etc.

c = [0, 1]
if order == 0:
c = []
for i in range(0, order-1):
b = []
for j in range(len(c)-1):
if (c[j+1]-c[j] > 1/16):
b.append([c[j] + x*(c[j+1]-c[j]) for x in ratio])
else:
b.append([c[j]])
b.append([1])
c = [x for xs in b for x in xs]
c = [1+x for x in c]
print([i / gcd(c) for i in c])
print([c[i+1]-c[i] for i in range(len(c)-1)])
</syntaxhighlight>

← Older revision		Revision as of 00:06, 27 January 2024
Line 91:		Line 91:
	[13edo] [21221212] [6\13 higher than written]		[13edo] [21221212] [6\13 higher than written]

	\|\| \| \| \| \| ~~· ··~~ \| ~~· ·~~ ~~· ···~~ \| · \| \|		\|\| \| \| \| \| • •• \| • • • ••• \| • \| \|
	\|\| 1234 \| 5 3 6 4 3 1 \|&812 -123 4567 \|&8 6 4 6 7 6 \| 5345 6 7&8 1 23 \| 4 2 &8 2 3218 \| 1 7 5 7 &8765 \| 7 4 2 6 5432 \|		\|\| 1234 \| 5 3 6 4 3 1 \|&812 -123 4567 \|&8 6 4 6 7 6 \| 5345 6 7&8 1 23 \| 4 2 &8 2 3218 \| 1 7 5 7 &8765 \| 7 4 2 6 5432 \|
	3 \|\|: ════ \| ――― ――― ――― \| ══― ════ ════ \| ――― ――― ――― \| ════ ――═══ ――══ \| ――― ――― ════ \| ――― ――― ════ \| ――― ――― ════ \|		3 \|\|• ════ \| ――― ――― ――― \| ══― ════ ════ \| ――― ――― ――― \| ════ ――═══ ――══ \| ――― ――― ════ \| ――― ――― ════ \| ――― ――― ════ \|
	\|\| \| \| · \| \| \| \| \| \|		\|\| \| \| • \| \| \| \| \| \|
	- \|\| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.		--- \|\|• ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc.
	\|\| \| \| \| \| \| \| \| \|		\|\| \| \| \| \| \| \| \| \|
	4 \|\|: 0 \| 1 2 3 \| 4 2 &8 \| 2 6 ♮8 12 \| 3· 2 1 7 \|&8· 3 1 \| 5· &8 6 \| 2· 5 3 \|		4 \|\|• 0 \| 1 2 3 \| 4 2 &8 \| 2 6 ♮8 12 \| 3• 2 1 7 \|&8• 3 1 \| 5• &8 6 \| 2• 5 3 \|
	\|\| ~~ovb~~ \| \| · \| · ――══ \| ― ――― \| · ― \| · ― · \| · ― \|		\|\| \| \| \| ――══ \| ― ――― \| ― \| ― \| ― \|
	\|\| \| \| \| · \| · \| \| · \| ~~· ·~~ \|		\|\| ovb \| \| • \| • • \| • \| • \| • • • \| • • • \|
	</syntaxhighlight>		</syntaxhighlight>