1L 1s: Difference between revisions

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Line 58: Line 58:
!s
!s
!L/s
!L/s
! colspan="2" |Selected basic mosses
!Selected [[TAMNAMS|basic mosses]]
!Other comments  
!Other comments  
|-
|-
Line 72: Line 72:
|1
|1
|1.000
|1.000
|
|
|
|
|
Line 87: Line 86:
|5
|5
|1.200
|1.200
|
|balzano (2L 7s)
|Basic balzano (2L 7s)
|
|
|-
|-
Line 102: Line 100:
|4
|4
|1.250
|1.250
|Basic antidiatonic (2L 5s)
|antidiatonic (2L 5s)
|
|
|
|-
|-
Line 117: Line 114:
|7
|7
|1.286
|1.286
|
|armotonic (7L 2s)
|Basic armotonic (7L 2s)
|
|
|-
|-
Line 132: Line 128:
|3
|3
|1.333
|1.333
|
|pentic (2L 3s)
|
|
|
|-
|-
Line 147: Line 142:
|8
|8
|1.375
|1.375
|
|m-chromatic (7L 5s)
|
|
|
|-
|-
Line 162: Line 156:
|5
|5
|1.400
|1.400
|Basic diatonic (5L 2s)
|diatonic (5L 2s)
|
|
|
|-
|-
Line 177: Line 170:
|7
|7
|1.429
|1.429
|
|p-chromatic (5L 7s)
|
|
|
|-
|-
Line 192: Line 184:
|2
|2
|1.500
|1.500
|
|trial (2L 1s)
|
|
|
|-
|-
Line 207: Line 198:
|7
|7
|1.571
|1.571
|
|p-noble (5L 8s)
|
|
|
|-
|-
Line 222: Line 212:
|5
|5
|1.600
|1.600
|Basic oneirotonic (5L 3s)
|oneirotonic (5L 3s)
|
|
|
|-
|-
Line 237: Line 226:
|8
|8
|1.625
|1.625
|
|m-noble (8L 5s)
|
|
|
|-
|-
Line 252: Line 240:
|3
|3
|1.667
|1.667
|
|antipentic (3L 2s)
|
|
|
|-
|-
Line 267: Line 254:
|7
|7
|1.714
|1.714
|
|m-chro checkertonic (8L 3s)
|
|
|
|-
|-
Line 282: Line 268:
|4
|4
|1.750
|1.750
|Basic checkertonic (3L 5s)
|checkertonic (3L 5s)
|
|
|
|-
|-
Line 297: Line 282:
|5
|5
|1.800
|1.800
|
|p-chro checkertonic (3L 8s)
|
|
|
|-
|-
Line 313: Line 297:
|2.000
|2.000
|
|
|
|[[2L 1s]] and [[1L 2s]] separate here.
|[[2L 1s]] and 1L 2s separate here.
|-
|-
|
|
Line 327: Line 310:
|4
|4
|2.250
|2.250
|
|sephiroid (3L 7s)
|Basic sephiroid (3L 7s)
|
|
|-
|-
Line 342: Line 324:
|3
|3
|2.333
|2.333
|Basic mosh (3L 4s)
|mosh (3L 4s)
|
|
|
|-
|-
Line 357: Line 338:
|5
|5
|2.400
|2.400
|
|zaltertic (7L 3s)
|Basic zaltertic (7L 3s)
|
|
|-
|-
Line 372: Line 352:
|2
|2
|2.500
|2.500
|
|tetric (3L 1s)
|
|
|
|-
|-
Line 387: Line 366:
|5
|5
|2.600
|2.600
|
|antikleismic (7L 4s)
|
|
|
|-
|-
Line 402: Line 380:
|3
|3
|2.667
|2.667
|Basic smitonic (4L 3s)
|smitonic (4L 3s)
|
|
|
|-
|-
Line 417: Line 394:
|4
|4
|2.750
|2.750
|
|kleismic (4L 7s)
|
|
|
|-
|-
Line 432: Line 408:
|1
|1
|3.000
|3.000
|
|antrial (1L 2s)
|
|
|
|-
|-
Line 447: Line 422:
|3
|3
|3.333
|3.333
|
|gramitonic (4L 5s)
|Basic gramitonic (4L 5s)
|
|
|-
|-
Line 462: Line 436:
|2
|2
|3.500
|3.500
|Basic manual (4L 1s)
|manual (4L 1s)
|
|
|
|-
|-
Line 477: Line 450:
|3
|3
|3.667
|3.667
|
|semiquartal (5L 4s)
|Basic semiquartal (5L 4s)
|
|
|-
|-
Line 492: Line 464:
|1
|1
|4.000
|4.000
|
|antetric (1L 4s)
|
|
|
|-
|-
Line 507: Line 478:
|2
|2
|4.500
|4.500
|
|machinoid (5L 1s)
|Basic machinoid (5L 1s)
|
|
|-
|-
Line 522: Line 492:
|1
|1
|5.000
|5.000
|Basic pedal (1L 4s)
|pedal (1L 4s)
|
|
|
|-
|-
Line 537: Line 506:
|1
|1
|6.000
|6.000
|
|antimachinoid (1L 5s)
|Basic antimachinoid (1L 5s)
|
|
|-
|-
Line 552: Line 520:
|0
|0
|→ inf
|→ inf
|
|
|
|
|
|}
|}

Revision as of 03:26, 5 February 2023

1L 1s 2L 1s →
↓ 1L 2s 2L 2s ↘ 
┌╥┬┐
│║││
││││
└┴┴┘
Scale structure
Step pattern Ls
sL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\2 to 1\1 (600.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\2 (0.0 ¢ to 600.0 ¢)
TAMNAMS information
Name monowood
Prefix monwd-
Abbrev. w
Related MOS scales
Parent none
Sister 1L 1s (self)
Daughters 2L 1s, 1L 2s
Neutralized 2edo
2-Flought 3L 1s, 1L 3s
Equal tunings
Equalized (L:s = 1:1) 1\2 (600.0 ¢)
Supersoft (L:s = 4:3) 4\7 (685.7 ¢)
Soft (L:s = 3:2) 3\5 (720.0 ¢)
Semisoft (L:s = 5:3) 5\8 (750.0 ¢)
Basic (L:s = 2:1) 2\3 (800.0 ¢)
Semihard (L:s = 5:2) 5\7 (857.1 ¢)
Hard (L:s = 3:1) 3\4 (900.0 ¢)
Superhard (L:s = 4:1) 4\5 (960.0 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 1s is the simplest valid MOS pattern, often referred to as the trivial MOS scale.

Names

TAMNAMS uses two names for this mos: trivial and monowood. The name "trivial" references how this is the simplest possible mos pattern and is used to refer to this mos with any period, and the name "monowood" is an extension of the other n-wood names (such as biwood, triwood, and tetrawood), named after blackwood and whitewood) and specifically refers to this mos with an octave period.

Modes and intervals

Mode UDP Mode name Rotational order mosunison 1-mosstep mosoctave
Ls 1|0 1L 1s 1| 0 0 (perfect) L (major) L+s (perfect)
sL 0|1 1L 1s 0| 1 0 (perfect) s (minor) L+s (perfect)

Properties

All single-period mosses ultimately start with a generating interval and, for octave-equivalent scales, the generator's octave complement. Hence, this scale can also be seen as the parent of every moment-of-symmetry scale and is thus found as the root of various scale trees, such as the mos family tree.

This mos is also its own sister, though this property is also true of all nL ns scales.

Stacking a generating interval, or one of its two sizes of mossteps, just once produces this mos's daughter mosses of 2L 1s and 1L 2s.

Scale tree

As the mos 1L 1s is related to all single-period mosses, the scale tree depicted shows how more familiar mosses are related, rather than related temperaments.

Generator Bright gen. Dark gen. L s L/s Selected basic mosses Other comments
1\2 600.000 600.000 1 1 1.000
6\11 654.545 545.455 6 5 1.200 balzano (2L 7s)
5\9 666.667 533.333 5 4 1.250 antidiatonic (2L 5s)
9\16 675.000 525.000 9 7 1.286 armotonic (7L 2s)
4\7 685.714 514.286 4 3 1.333 pentic (2L 3s)
11\19 694.737 505.263 11 8 1.375 m-chromatic (7L 5s)
7\12 700.000 500.000 7 5 1.400 diatonic (5L 2s)
10\17 705.882 494.118 10 7 1.429 p-chromatic (5L 7s)
3\5 720.000 480.000 3 2 1.500 trial (2L 1s)
11\18 733.333 466.667 11 7 1.571 p-noble (5L 8s)
8\13 738.462 461.538 8 5 1.600 oneirotonic (5L 3s)
13\21 742.857 457.143 13 8 1.625 m-noble (8L 5s)
5\8 750.000 450.000 5 3 1.667 antipentic (3L 2s)
12\19 757.895 442.105 12 7 1.714 m-chro checkertonic (8L 3s)
7\11 763.636 436.364 7 4 1.750 checkertonic (3L 5s)
9\14 771.429 428.571 9 5 1.800 p-chro checkertonic (3L 8s)
2\3 800.000 400.000 2 1 2.000 2L 1s and 1L 2s separate here.
9\13 830.769 369.231 9 4 2.250 sephiroid (3L 7s)
7\10 840.000 360.000 7 3 2.333 mosh (3L 4s)
12\17 847.059 352.941 12 5 2.400 zaltertic (7L 3s)
5\7 857.143 342.857 5 2 2.500 tetric (3L 1s)
13\18 866.667 333.333 13 5 2.600 antikleismic (7L 4s)
8\11 872.727 327.273 8 3 2.667 smitonic (4L 3s)
11\15 880.000 320.000 11 4 2.750 kleismic (4L 7s)
3\4 900.000 300.000 3 1 3.000 antrial (1L 2s)
10\13 923.077 276.923 10 3 3.333 gramitonic (4L 5s)
7\9 933.333 266.667 7 2 3.500 manual (4L 1s)
11\14 942.857 257.143 11 3 3.667 semiquartal (5L 4s)
4\5 960.000 240.000 4 1 4.000 antetric (1L 4s)
9\11 981.818 218.182 9 2 4.500 machinoid (5L 1s)
5\6 1000.000 200.000 5 1 5.000 pedal (1L 4s)
6\7 1028.571 171.429 6 1 6.000 antimachinoid (1L 5s)
1\1 1200.000 0.000 1 0 → inf
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