3L 2s: Difference between revisions

Revision as of 03:33, 18 February 2022

↖ 2L 1s	↑ 3L 1s	4L 1s ↗
← 2L 2s	3L 2s	4L 2s →
↙ 2L 3s	↓ 3L 3s	4L 3s ↘

┌╥╥┬╥┬┐
│║║│║││
│││││││
└┴┴┴┴┴┘

Scale structure

Step pattern

LLsLs
sLsLL

Equave

2/1 (1200.0 ¢)

Period

2/1 (1200.0 ¢)

Generator size

Bright

3\5 to 2\3 (720.0 ¢ to 800.0 ¢)

Dark

1\3 to 2\5 (400.0 ¢ to 480.0 ¢)

Related MOS scales

Equal tunings

Equalized (L:s = 1:1)

3\5 (720.0 ¢)

Supersoft (L:s = 4:3)

11\18 (733.3 ¢)

8\13 (738.5 ¢)

13\21 (742.9 ¢)

5\8 (750.0 ¢)

12\19 (757.9 ¢)

7\11 (763.6 ¢)

Superhard (L:s = 4:1)

9\14 (771.4 ¢)

Collapsed (L:s = 1:0)

2\3 (800.0 ¢)

The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.

Names

The TAMNAMS system suggests the name antipentic, in opposition to pentic used for 2L 3s.

Modes

4|0 LLsLs
3|1 LsLLs
2|2 LsLsL
1|3 sLLsL
0|4 sLsLL

Scale tree

Generator ranges:

Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)

Generator							Cents	s	L-s	Comments
1\3							400	0	400
						8\23	417.39	52.18	365.21	8ed(14/11) is near here
					7\20		420	60	300
				6\17			423.53	70.59	282.35	Skwares is around here
						17\48	425	75	275	Squares is around here
					11\31		425.81	77.42	270.97
			5\14				428.57	85.71	257.14	L/s = 4
							435.01	105.035	224.91	L/s = pi, essentially perfect 9/7
		4\11					436.36	109.09	218.18	L/s = 3
							439.39	118.17	203.05	L/s = e
				11/30			440	120	200
							440.59	121.78	197.04
			7/19				442.11	126.32	189.47	Sensi is around here
	3\8						450	150	150	Boundary of propriety (larger generators than this are proper)
							455.59	166.76	122.07
			8\21				457.14	171.43	114.29
					21\55		458.18	174.55	109.09
							1200/(1+phi)	175.08	108.20	Golden petrtri
				13\34			458.82	176.47	105.88
							459.59	178.77	102.04
		5\13					461.54	184.62	92.31	Optimum rank range (L/s=3/2) oneirotonic[5]
			7\18				466.67	200	66.67
				9\23			469.57	208.70	52.17
					11\28		471.43	214.29	42.86
						13\33	472.73	218.18	36.36	Slendro-like scales in this region
2\5							480	240	0

@@ Line 1: / Line 1: @@
+{{Infobox MOS
+| Name = antipentic
+| Periods = 1
+| nLargeSteps = 3
+| nSmallSteps = 2
+| Equalized = 3
+| Paucitonic = 2
+| Pattern = LLsLs
+}}
 The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Sensipent_family|sensi]], in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.
 == Names ==
 The TAMNAMS system suggests the name '''antipentic''', in opposition to [[pentic]] used for 2L 3s.
+== Modes ==
+* 4|0 LLsLs
+* 3|1 LsLLs
+* 2|2 LsLsL
+* 1|3 sLLsL
+* 0|4 sLsLL
 == Scale tree ==
+Generator ranges:
+* Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
+* Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)
 {| class="wikitable"
 |-
@@ Line 328: / Line 349: @@
 |}
+[[Category:Antipentic]]
 [[Category:Abstract MOS patterns]]
+[[Category:5-tone scales]]

3L 2s: Difference between revisions

Revision as of 03:33, 18 February 2022

Names

Modes

Scale tree

Navigation menu

Search