4L 7s - Revision history

KingHyperio at 01:53, 18 March 2026

2026-03-18T01:53:38Z

← Older revision		Revision as of 01:53, 18 March 2026
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	Tristian $		Tristian $
	Leucocephalan $		Leucocephalan $
	~~Albocintan~~ $		Albocinctan $
	Cristatellan $		Cristatellan $
	Grandian $}}		Grandian $}}

KingHyperio: /* Scale properties */Added proposed mode names.

2026-03-17T23:10:01Z

Scale properties: Added proposed mode names.

@@ Line 24: / Line 24: @@
 === Modes ===
 {{MOS mode degrees}}
 == Tuning ranges==

Lériendil at 19:30, 5 August 2025

2025-08-05T19:30:43Z

← Older revision		Revision as of 19:30, 5 August 2025
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	\| 13/5 = [[Countercata]]		\| 13/5 = [[Countercata]]
	\| 8/3 = [[Hanson]]/[[cata]]		\| 8/3 = [[Hanson]]/[[cata]]
			\| 11/4 = [[Catakleismic]]
	\| 10/3 = [[Parakleismic]]		\| 10/3 = [[Parakleismic]]
	\| 9/2 = [[Oolong]]		\| 9/2 = [[Oolong]]

Lériendil at 23:59, 17 June 2025

2025-06-17T23:59:00Z

← Older revision		Revision as of 23:59, 17 June 2025
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/5 = Oregon		\| 6/5 = [[Oregon]]
	\| 10/7 = Orgone		\| 10/7 = [[Orgone]]
	\| 11/7 = Magicaltet		\| 11/7 = [[Magicaltet]]
	\| 13/8 = Golden superklesimic		\| 13/8 = Golden superklesimic
	\| 5/3 = Superkleismic		\| 5/3 = [[Superkleismic]]
	\| 7/3 = Catalan		\| 7/3 = [[Catalan]]
	\| 13/5 = Countercata		\| 13/5 = [[Countercata]]
	\| 8/3 = Hanson/cata		\| 8/3 = [[Hanson]]/[[cata]]
	\| 10/3 = Parakleismic		\| 10/3 = [[Parakleismic]]
	\| 9/2 = Oolong		\| 9/2 = [[Oolong]]
	\| 5/1 = Starlingtet		\| 5/1 = [[Starlingtet]]
	\| 6/1 = Myna		\| 6/1 = [[Myna]]
	}}		}}

ArrowHead294 at 19:00, 3 March 2025

2025-03-03T19:00:48Z

← Older revision		Revision as of 19:00, 3 March 2025
Line 15:		Line 15:
	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

			=== Generator chain ===
			{{MOS genchain}}

			=== Modes ===
			{{MOS mode degrees}}

	== Tuning ranges==		== Tuning ranges==

ArrowHead294 at 18:10, 28 February 2025

2025-02-28T18:10:25Z

← Older revision		Revision as of 18:10, 28 February 2025
Line 15:		Line 15:
	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
			{{MOS data}}
	~~=== Intervals ===~~
	{{MOS ~~intervals~~}}

	~~=== Modes ===~~
	~~{{MOS mode degrees}}~~
	~~=== Genchain ===~~
	~~{\| class="wikitable center-all"~~
	\|-
	~~! Generators~~
	~~\| -11 \|\| -10 \|\| -9 \|\| -8 \|\| -7 \|\| -6 \|\| -5 \|\| -4 \|\| -3 \|\| -2 \|\| -1 \|\| 0 \|\| +1 \|\| +2 \|\| +3 \|\| +4 \|\| +5 \|\| +6 \|\| +7 \|\| +8 \|\| +9 \|\| +10 \|\| +11~~
	\|-
	~~! Interval quality~~
	~~\| d11md \|\| d8md \|\| m5md \|\| m2md \|\| m10md \|\| m7md \|\| m4md \|\| m1md \|\| m9md \|\| m6md \|\| P3md \|\| P0md \|\| P8md \|\| M5md \|\| M2md \|\| M10md \|\| M7md \|\| M4md \|\| M1md \|\| M9md \|\| M6md \|\| A3md \|\| A0md~~
	\|}

	== Tuning ranges==		== Tuning ranges==
	=== Soft range ===		=== Soft range ===
	The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than 4\15 = ~~320¢~~.		The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than {{nowrap\|4\15 {{=}} 320{{c}}}}.

	This is the range associated with extensions of [[Orgone\|Orgone[7]]]. The small step is recognizable as a near diatonic semitone, while the large step is in the ambiguous area of neutral seconds.		This is the range associated with extensions of [[Orgone\|Orgone[7]]]. The small step is recognizable as a near diatonic semitone, while the large step is in the ambiguous area of neutral seconds.
Line 63:		Line 49:

	=== Hypohard ===		=== Hypohard ===
	Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than 5\19 = 315.~~79¢~~ and flatter than 4\15 = ~~320¢~~.		Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than {{nowrap\|5\19 {{=}} 315.79{{c}}}} and flatter than {{nowrap\|4\15 {{=}} 320{{c}}}}.

	This range represents one of the harmonic entropy minimums, where 6 generators make a just diatonic fifth ([[3/2]]), an octave above. This is the range associated with the eponymous Kleismic (aka [[Hanson]]) temperament and its extensions.		This range represents one of the harmonic entropy minimums, where 6 generators make a just diatonic fifth ([[3/2]]), an octave above. This is the range associated with the eponymous Kleismic (aka [[Hanson]]) temperament and its extensions.

	Hypohard edos include [[15edo]], [[19edo]], and [[34edo]].		Hypohard edos include [[15edo]], [[19edo]], and [[34edo]].
	The sizes of the generator, large step and small step of 4L 7s are as follows in various hypohard tunings:		The sizes of the generator, large step and small step of 4L 7s are as follows in various hypohard tunings:
	{\| class="wikitable right-2 right-3 right-4"		{\| class="wikitable right-2 right-3 right-4"
	\|-		\|-
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	\| 6/5		\| 6/5
	\|-		\|-
	\| L (octave - 3g)		\| L ({{nowrap\|octave − 3g}})
	\| 2\15, 160.00		\| 2\15, 160.00
	\| 3\19, 189.47		\| 3\19, 189.47
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	\| 10/9, 11/10 (in 15edo)		\| 10/9, 11/10 (in 15edo)
	\|-		\|-
	\| s (4g - octave)		\| s ({{nowrap\|4g − octave}})
	\| 1\15, 80.00		\| 1\15, 80.00
	\| 1\19, 63.16		\| 1\19, 63.16
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	\| 6/5		\| 6/5
	\|-		\|-
	\| L (octave - 3g)		\| L ({{nowrap\|octave − 3g}})
	\| 3\19, 189.47		\| 3\19, 189.47
	\| 4\23, 208.70		\| 4\23, 208.70
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	\| 10/9, 9/8		\| 10/9, 9/8
	\|-		\|-
	\| s (4g - octave)		\| s ({{nowrap\|4g − octave}})
	\| 1\19, 63.16		\| 1\19, 63.16
	\| 1\23, 52.17		\| 1\23, 52.17
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	\| 6/5		\| 6/5
	\|-		\|-
	\| L (octave - 3g)		\| L ({{nowrap\|octave − 3g}})
	\| 4\23, 208.70		\| 4\23, 208.70
	\| 6\31, 232.26		\| 6\31, 232.26
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	\| 8/7, 9/8		\| 8/7, 9/8
	\|-		\|-
	\| s (4g - octave)		\| s ({{nowrap\|4g − octave}})
	\| 1\23, 52.17		\| 1\23, 52.17
	\| 1\31, 38.71		\| 1\31, 38.71
Line 174:		Line 160:
	* [[Myna11]]		* [[Myna11]]

	==Scale tree==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~6/5: Oregon;		{{MOS tuning spectrum
	10/7: Orgone;		\| 6/5 = Oregon
	11/7: Magicaltet;		\| 10/7 = Orgone
	13/8: Golden superklesimic;		\| 11/7 = Magicaltet
	5/3: Superkleismic;		\| 13/8 = Golden superklesimic
	7/3: Catalan;		\| 5/3 = Superkleismic
	13/5: Countercata;		\| 7/3 = Catalan
	8/3: Hanson/cata;		\| 13/5 = Countercata
	10/3: Parakleismic;		\| 8/3 = Hanson/cata
	9/2: Oolong;		\| 10/3 = Parakleismic
	5/1: Starlingtet;		\| 9/2 = Oolong
	6/1: Myna}}		\| 5/1 = Starlingtet
			\| 6/1 = Myna
			}}

			== Gallery ==
			[[File:19EDO_Kleistonic_cheat_sheet.png\|825x825px\|thumb\|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).\|alt=\|left]]

	[[Category:11-tone scales]]		[[Category:11-tone scales]]
	[[Category:Kleistonic]] <!-- main article -->		[[Category:Kleistonic]] <!-- main article -->

	~~== Gallery ==~~
	~~[[File:19EDO_Kleistonic_cheat_sheet.png\|825x825px\|thumb\|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).\|alt=\|left]]~~

ArrowHead294: Formatting, spaces for best practice

2024-07-29T11:44:26Z

Formatting, spaces for best practice

Show changes

Ganaram inukshuk: Testing out an alternate layout

2024-07-28T02:37:32Z

Testing out an alternate layout

← Older revision		Revision as of 02:37, 28 July 2024
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	TAMNAMS formerly used the name ''kleistonic'' for the name of this scale (prefix ''klei-''). Other names include '''p-chro smitonic''' or '''smipechromic'''.		TAMNAMS formerly used the name ''kleistonic'' for the name of this scale (prefix ''klei-''). Other names include '''p-chro smitonic''' or '''smipechromic'''.

	== ~~Intervals~~ ==		== Scale properties ==
	{{TAMNAMS use~~}}{{MOS intervals~~}}		{{TAMNAMS use}}

			=== Intervals ===
			{{MOS intervals}}

			=== Modes ===
			{{MOS mode degrees}}
	===Genchain===		===Genchain===
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
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	\|}		\|}

	~~==Modes==~~		==Temperaments==
	~~{{MOS mode degrees}}~~
	==Temperaments ==

	==Scales==		==Scales==
	*[[Oregon11]]		*[[Oregon11]]

Ganaram inukshuk: testing out hatnote

2024-07-26T21:14:19Z

testing out hatnote

← Older revision		Revision as of 21:14, 26 July 2024
Line 14:		Line 14:

	== Intervals ==		== Intervals ==
	{{MOS intervals}}		{{TAMNAMS use}}{{MOS intervals}}

	===Genchain===		===Genchain===

Ganaram inukshuk: Added back genchain (which should probably be a template)

2024-07-26T21:00:37Z

Added back genchain (which should probably be a template)

Show changes