2L 7s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssLssss
ssssLsssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
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.
bz
Related MOS scales
Parent
2L 5s
Sister
7L 2s
Daughters
9L 2s, 2L 9s
Neutralized
4L 5s
2-Flought
11L 7s, 2L 16s
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¢)
| ↖ 1L 6s | ↑ 2L 6s | 3L 6s ↗ |
| ← 1L 7s | 2L 7s | 3L 7s → |
| ↙ 1L 8s | ↓ 2L 8s | 3L 8s ↘ |
┌╥┬┬┬╥┬┬┬┬┐ │║│││║│││││ │││││││││││ └┴┴┴┴┴┴┴┴┴┘
ssssLsssL
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.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-balstep | Perfect 0-balstep | P0bzs | 0 | 0.0¢ |
| 1-balstep | Minor 1-balstep | m1bzs | s | 0.0¢ to 133.3¢ |
| Major 1-balstep | M1bzs | L | 133.3¢ to 600.0¢ | |
| 2-balstep | Minor 2-balstep | m2bzs | 2s | 0.0¢ to 266.7¢ |
| Major 2-balstep | M2bzs | L + s | 266.7¢ to 600.0¢ | |
| 3-balstep | Minor 3-balstep | m3bzs | 3s | 0.0¢ to 400.0¢ |
| Major 3-balstep | M3bzs | L + 2s | 400.0¢ to 600.0¢ | |
| 4-balstep | Diminished 4-balstep | d4bzs | 4s | 0.0¢ to 533.3¢ |
| Perfect 4-balstep | P4bzs | L + 3s | 533.3¢ to 600.0¢ | |
| 5-balstep | Perfect 5-balstep | P5bzs | L + 4s | 600.0¢ to 666.7¢ |
| Augmented 5-balstep | A5bzs | 2L + 3s | 666.7¢ to 1200.0¢ | |
| 6-balstep | Minor 6-balstep | m6bzs | L + 5s | 600.0¢ to 800.0¢ |
| Major 6-balstep | M6bzs | 2L + 4s | 800.0¢ to 1200.0¢ | |
| 7-balstep | Minor 7-balstep | m7bzs | L + 6s | 600.0¢ to 933.3¢ |
| Major 7-balstep | M7bzs | 2L + 5s | 933.3¢ to 1200.0¢ | |
| 8-balstep | Minor 8-balstep | m8bzs | L + 7s | 600.0¢ to 1066.7¢ |
| Major 8-balstep | M8bzs | 2L + 6s | 1066.7¢ to 1200.0¢ | |
| 9-balstep | Perfect 9-balstep | P9bzs | 2L + 7s | 1200.0¢ |
Modes
| UDP | Cyclic Order |
Step Pattern |
Scale Degree (baldegree) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |||
| 8|0 | 1 | LsssLssss | Perf. | Maj. | Maj. | Maj. | Perf. | Aug. | Maj. | Maj. | Maj. | Perf. |
| 7|1 | 5 | LssssLsss | Perf. | Maj. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Maj. | Perf. |
| 6|2 | 9 | sLsssLsss | Perf. | Min. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Maj. | Perf. |
| 5|3 | 4 | sLssssLss | Perf. | Min. | Maj. | Maj. | Perf. | Perf. | Min. | Maj. | Maj. | Perf. |
| 4|4 | 8 | ssLsssLss | Perf. | Min. | Min. | Maj. | Perf. | Perf. | Min. | Maj. | Maj. | Perf. |
| 3|5 | 3 | ssLssssLs | Perf. | Min. | Min. | Maj. | Perf. | Perf. | Min. | Min. | Maj. | Perf. |
| 2|6 | 7 | sssLsssLs | Perf. | Min. | Min. | Min. | Perf. | Perf. | Min. | Min. | Maj. | Perf. |
| 1|7 | 2 | sssLssssL | Perf. | Min. | Min. | Min. | Perf. | Perf. | Min. | Min. | Min. | Perf. |
| 0|8 | 6 | ssssLsssL | Perf. | Min. | Min. | Min. | Dim. | Perf. | Min. | Min. | Min. | Perf. |
Scale tree
| Generator(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 | |||||