TallKite at 19:17, 4 June 2025

2025-06-04T19:17:28Z

← Older revision		Revision as of 19:17, 4 June 2025
Line 489:		Line 489:
	\|41 51 61 81		\|41 51 61 81
	\|}		\|}
	<nowiki>*</nowiki>) Not technically correct, but makes the most sense musically		<nowiki>*</nowiki>) Not technically correct, but makes the most sense musically.

			* If you play 12edo in tritones, try 22edo +11 +2
			* If you play 12edo in 4ths/5ths, try 22edo, 34edo
			* If you play 12edo in major 3rds, try 41edo +13 +2

	{\| class="wikitable"		{\| class="wikitable"
	\|+coprime row/col offsets		\|+coprime row/col offsets
Line 663:		Line 668:
	\|Wicki-Hayden		\|Wicki-Hayden
	\|-		\|-
	!2		! rowspan="2" \|2
	!(P8/2, P5)		! rowspan="2" \|(P8/2, P5)
	\|(P4, M2/2)		\|(P4, M2/2)
	\| +2 +2		\| +2 +2
Line 674:		Line 679:
	\|		\|
	\|Saguguti		\|Saguguti
			\|-
			\|(M2/2, d4/2)
			\| +8 +2
			\| +5 +1
			\|
			\|
			\|
			\|
			\|
			\|
	\|-		\|-
	!3		!3

TallKite at 04:59, 4 June 2025

2025-06-04T04:59:10Z

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TallKite at 01:39, 4 June 2025

2025-06-04T01:39:12Z

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TallKite: TallKite moved page User:TallKite/Linnstrument layouts to User:TallKite/Linnstrument layouts and MOS scales

2025-05-31T01:20:32Z

TallKite moved page User:TallKite/Linnstrument layouts to User:TallKite/Linnstrument layouts and MOS scales

← Older revision	Revision as of 01:20, 31 May 2025
(No difference)

TallKite at 01:20, 31 May 2025

2025-05-31T01:20:03Z

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TallKite at 09:48, 28 May 2025

2025-05-28T09:48:33Z

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TallKite: Created page with "A Linnstrument layout is a row offset plus a column offset. The default 12edo-fourths layout is 5 1. The three most popular hexagonal-key layouts can each be translated to the Linnstrument's square keys in two ways, shown here for 12edo: * Bosanquet or Janko layout translates to (-1 +2) or (+1 +2) * Wicki-Hayden layout translates to (+5 +2) or (+7 +2) * Harmonic Table layout translates to (+4 +3) or (+7 +3) The unison in an R C layout is R columns right and C rows dow..."

2025-05-18T19:29:08Z

Created page with "A Linnstrument layout is a row offset plus a column offset. The default 12edo-fourths layout is 5 1. The three most popular hexagonal-key layouts can each be translated to the Linnstrument's square keys in two ways, shown here for 12edo: * Bosanquet or Janko layout translates to (-1 +2) or (+1 +2) * Wicki-Hayden layout translates to (+5 +2) or (+7 +2) * Harmonic Table layout translates to (+4 +3) or (+7 +3) The unison in an R C layout is R columns right and C rows dow..."

New page

A Linnstrument layout is a row offset plus a column offset. The default 12edo-fourths layout is 5 1.

The three most popular hexagonal-key layouts can each be translated to the Linnstrument's square keys in two ways, shown here for 12edo:

* Bosanquet or Janko layout translates to (-1 +2) or (+1 +2)
* Wicki-Hayden layout translates to (+5 +2) or (+7 +2)
* Harmonic Table layout translates to (+4 +3) or (+7 +3)

The unison in an R C layout is R columns right and C rows down.

Pentatonic edos 5 10 15 20 25 & 30 and supersharp edos 8 13 & 18 have only 5 white keys, all else have 7 (except 6edo).
{| class="wikitable"
|+coprime row/col offsets
!
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
!1
|
|21
|31
|41
|51
|61
|71
|81
|91
|T1
|E1
|-
!2
|
|
|32
|
|52
|
|72
|
|92
|
|E2
|-
!3
|
|
|
|43
|53
|
|73
|83
|
|T3
|E3
|-
!4
|
|
|
|
|54
|
|74
|
|94
|
|E4
|-
!5
|
|
|
|
|
|65
|75
|85
|95
|
|E5
|-
!6
|
|
|
|
|
|
|76
|
|
|
|E6
|-
!7
|
|
|
|
|
|
|
|87
|97
|T7
|E7
|}
{| class="wikitable center-all"
|+
!
! colspan="9" |Suggested layouts
! colspan="6" |Preset MOS scales
|-
! rowspan="2" |edo
!4ths
!5ths
! colspan="2" |Bosanquet
! colspan="2" |Wicki-Hayden
! colspan="2" |Harmonic Table
! rowspan="2" |Other layouts
(R <= P5, C < P4)
! colspan="6" |1st scale = white keys
|-
!P4 1
!P5 1
!m2 M2
!A1 M2
!P4 M2
!P5 M2
!M3 m3
!P5 m3
!1
!2
!3
!4
!5
!etc.
|-
!5
|2 1
|3 1
|0 1
| 1 1
|2 1
|3 1
|2 1
|3 1
| ---
|212
|
|
|
|
|
|-
!6
|2 1 **
|3 1 **
| colspan="2" |1 1 *
| colspan="2" |3 1 *
|3 2 *
|4 3 *
| ---
|222
|33
|
|
|
|
|-
!7
|3 1
|4 1
|1 1
| 0 1
|3 1
|4 1
|1 2 *
|3 2 *
|21
|11212
|313
|3331
|
|
|
|-
!''8''
|3 1
|5 1
| colspan="2" |1 2 *
|3 2
|5 2
|5 3 *
|5 2 *
|21 41 43
|22121
|2L1s
|2L4s
|4L
|
|
|-
!9
|4 1
|5 1
|2 1
| 1 1
|4 1
|5 1
|2 3
|5 3
|31 32 52 43
|1121112
|2L3s
|2L1s
|4L1s
|3L3s
|
|-
!10
|4 1
|6 1
| colspan="2" |1 2 *
| colspan="2" |5 2 *
|4 3 *
|7 3 *
|21 31 51 32 53
|22222
|4L2s
|2L6s
|3L4s
|
|
|-
!11
|5 1
|6 1
|3 1 *
|2 1 *
|5 1
|6 1
|4 3 *
|7 3 *
|41 32 52 53 54
|1131113
|3L5s
|4L3s
|5L1s
|
|
|-
!12
|5 1
|7 1
|1 2
| 1 2
|5 2
|7 2
|4 3
|7 3
|31 41 61 32 53 74
|2212221
|2L3s
|2L1s
|3L6s
|4L4s
|6L
|-
!13
|5 1
|8 1
|1 3 *
|2 3 *
|5 3
|8 3
|4 3 *
|7 3 *
| rowspan="2" |21 32 52 72 54 74
| rowspan="2" |33232
| rowspan="2" |111311113
| rowspan="2" |3L4s
| rowspan="2" |4L5s
| rowspan="2" |6L1s
|
|-
!13b
|6 1
|7 1
|4 1 *
|3 1 *
|6 1
|7 1
|4 3 *
|7 3 *
|
|-
!14
|6 1
|8 1
| colspan="2" |1 2 *
| colspan="2" |7 2 *
| colspan="2" |5 4 *
|21 31 41 51 71
32 52 43 53 73 74
|(2)x7
|3L5s
|4L1s
|6L2s
|
|
|-
!15
|6 1
|9 1
| colspan="2" |1 3 *
|
|
|5 4
|9 4
|
|33333
|(21)x5
|2223222
|4L3s
3131313
|6L3s
323232
|
|-
!16
|7 1
|9 1
|
|3 2
|
|
|
|
|
|2232223
|
|
|
|
|
|-
!17
|7 1
|10 1
|
|
|
|
|
|
|
|3313331
|
|
|
|
|
|-
!18
|7 1
|11 1
|3 4 *
|
|7 4 *
|
|
|
| rowspan="2" |
|44343
|2242224
|
|
|
|
|-
!18b
|8 1
|10 1
|
|
|
|
|
|
|
|
|
|
|
|
|-
!19
|8 1
|11 1
|2 3
|1 3
|
|
|
|
|
|3323332
|
|
|
|
|
|-
!20
|
|
|
|
|
|
|
|
|
|44444
|
|
|
|
|
|-
!21
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!22
|
|
|
|
|
|
|
|
|
|5L2s
|4L5s
4L1s
|1L6s
7L1s
|4L2s
6L4s
|6L2s
|2L8s
|-
!23
|10 1
|13 1
|4 3
|
|10 3
|13 3
|
|
|
|3343334
|
|
|
|
|
|-
!24
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!25
|
|
|
|
|
|
|
|
|
|55555
|
|
|
|
|
|-
!26
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!27
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!28
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!29
|
|
|
|
|
|
|
|
|
|5L2s
|
|
|
|
|
|-
!30
|
|
|
|
|
|
|
|
|
|5L
|
|
|
|
|
|-
!31
|13 1
|18 1
|3 5
|2 5
|13 5
|18 5
|10 8
|18 8
|
|5L2s
|2L7s
|5L3s
|3L8s
|
|
|-
!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|}
<nowiki>*</nowiki>) Not technically correct, but makes the most sense musically

MOS scales are selected to have

* 5-12 notes
* if s=1, at most 2 small steps in a row (except for very small edos)
* L <= N/5 (approx. M2/m3)
* L/s ratio <= 3 (except penta-sharp-1 edos)

MOS scales are sorted first by periods per octave, then by decreasing mingen size.

User:TallKite/Linnstrument layouts and MOS scales - Revision history

TallKite at 19:17, 4 June 2025

TallKite at 04:59, 4 June 2025

TallKite at 01:39, 4 June 2025

TallKite: TallKite moved page User:TallKite/Linnstrument layouts to User:TallKite/Linnstrument layouts and MOS scales

TallKite at 01:20, 31 May 2025

TallKite at 09:48, 28 May 2025