2L 7s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖1L 6s ↑2L 6s 3L 6s↗
←1L 7s2L 7s 3L 7s→
↙1L 8s ↓2L 8s 3L 8s↘
Scale structure
Step pattern LsssLssss
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Step size ranges
Large 1\9 to 1\2 (133.3¢ to 600.0¢)
Small 0\2 to 1\9 (0.0¢ to 133.3¢)
Generator ranges
Bright 4\9 to 1\2 (533.3¢ to 600.0¢)
Dark 1\2 to 5\9 (600.0¢ to 666.7¢)
TAMNAMS information
Name balzano
Prefix bal-
Abbrev. bal
Related scales
Parent 2L 5s
Sister 7L 2s
Daughters 9L 2s, 2L 9s
Equal tunings
Equalized (L:s = 1:1) 4\9 (533.3¢)
Supersoft (L:s = 4:3) 13\29 (537.9¢)
Soft (L:s = 3:2) 9\20 (540.0¢)
Semisoft (L:s = 5:3) 14\31 (541.9¢)
Basic (L:s = 2:1) 5\11 (545.5¢)
Semihard (L:s = 5:2) 11\24 (550.0¢)
Hard (L:s = 3:1) 6\13 (553.8¢)
Superhard (L:s = 4:1) 7\15 (560.0¢)
Collapsed (L:s = 1:0) 1\2 (600.0¢)

2L 7s, named balzano in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 7 small steps, repeating every octave. Generators that produce this scale range from 533.3¢ to 600¢, or from 600¢ to 666.7¢.

Names

This scale is called balzano in TAMNAMS nomenclature.

Intervals

Note: In TAMNAMS, a k-step interval class in balzano may be called a "k-step", "k-mosstep", or "k-balstep" (/bæl-/). 1-indexed terms such as "mos(k+1)th" are discouraged for non-diatonic mosses.

Modes

  • 8|0 LsssLssss
  • 7|1 LssssLsss
  • 6|2 sLsssLsss
  • 5|3 sLssssLss
  • 4|4 ssLsssLss
  • 3|5 ssLssssLs
  • 2|6 sssLsssLs
  • 1|7 sssLssssL
  • 0|8 ssssLsssL

Scale tree

Scale tree and tuning spectrum of 2L 7s
Generator (in steps of edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\9 533.333 666.667 1:1 1.000 Equalized 2L 7s
21\47 536.170 663.830 6:5 1.200
17\38 536.842 663.158 5:4 1.250
30\67 537.313 662.687 9:7 1.286
13\29 537.931 662.069 4:3 1.333 Supersoft 2L 7s
35\78 538.462 661.538 11:8 1.375
22\49 538.776 661.224 7:5 1.400
31\69 539.130 660.870 10:7 1.429
9\20 540.000 660.000 3:2 1.500 Soft 2L 7s
32\71 540.845 659.155 11:7 1.571
23\51 541.176 658.824 8:5 1.600
37\82 541.463 658.537 13:8 1.625
14\31 541.935 658.065 5:3 1.667 Semisoft 2L 7s
Casablanca
33\73 542.466 657.534 12:7 1.714
19\42 542.857 657.143 7:4 1.750
24\53 543.396 656.604 9:5 1.800
5\11 545.455 654.545 2:1 2.000 Basic 2L 7s
Scales with tunings softer than this are proper
21\46 547.826 652.174 9:4 2.250
16\35 548.571 651.429 7:3 2.333
27\59 549.153 650.847 12:5 2.400
11\24 550.000 650.000 5:2 2.500 Semihard 2L 7s
28\61 550.820 649.180 13:5 2.600
17\37 551.351 648.649 8:3 2.667
23\50 552.000 648.000 11:4 2.750
6\13 553.846 646.154 3:1 3.000 Hard 2L 7s
19\41 556.098 643.902 10:3 3.333
13\28 557.143 642.857 7:2 3.500
20\43 558.140 641.860 11:3 3.667 Thuja
7\15 560.000 640.000 4:1 4.000 Superhard 2L 7s
15\32 562.500 637.500 9:2 4.500
8\17 564.706 635.294 5:1 5.000
9\19 568.421 631.579 6:1 6.000
1\2 600.000 600.000 1:0 → ∞ Collapsed 2L 7s