4L 6s: Difference between revisions
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Cleanup; +specific cent value of hemipyth tuning |
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{{MOS mode degrees}} | {{MOS mode degrees}} | ||
===Proposed | === Proposed names === | ||
Lyman Young has proposed names for the modes of | [[Lyman Young]] has proposed names for the modes of 4L 6s, which are shown below. They can be found in [https://www.sliderulemuseum.com/Patents/US/2502300.pdf his patent for a quartertone slide rule]. | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+ style=white-space:nowrap | Modes names of 4L 6s | |+ style=white-space:nowrap | Modes names of 4L 6s | ||
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| Dresden | | Dresden | ||
|} | |} | ||
== Scale tree == | == Scale tree == | ||
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4/3: Hemifourths/angirus; | 4/3: Hemifourths/angirus; | ||
7/5: Sruti; | 7/5: Sruti; | ||
10/7: Semihemi, [[Hemipyth]]; | 10/7: Semihemi, [[Hemipyth]] (249.0225¢); | ||
3/2: Decimal is around here; | 3/2: Decimal is around here; | ||
7/3: Bamity; | 7/3: Bamity; | ||
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<!-- main article --> | <!-- main article --> | ||
==Music== | == Music == | ||
; [[User:2^67-1|Cole]] | |||
[[Media:The_Hymn_of_Pergele.mp3|The Hymn of Pergele]], a short piece in [[Hemipyth]][10] 4|4(2) (Pacific mode of [[4L 6s]]) | * [[Media:The_Hymn_of_Pergele.mp3|''The Hymn of Pergele'']], a short piece in [[Hemipyth]][10] 4|4(2) (Pacific mode of [[4L 6s]]) | ||
Revision as of 16:23, 3 September 2024
| ↖ 3L 5s | ↑ 4L 5s | 5L 5s ↗ |
| ← 3L 6s | 4L 6s | 5L 6s → |
| ↙ 3L 7s | ↓ 4L 7s | 5L 7s ↘ |
┌╥┬╥┬┬╥┬╥┬┬┐ │║│║││║│║│││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLsLssLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
4L 6s, named lime in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 6 small steps, with a period of 2 large steps and 3 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 240 ¢ to 300 ¢, or from 300 ¢ to 360 ¢.
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (limedegree) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |||
| 8|0(2) | 1 | LsLssLsLss | Perf. | Maj. | Perf. | Aug. | Maj. | Perf. | Maj. | Perf. | Aug. | Maj. | Perf. |
| 6|2(2) | 3 | LssLsLssLs | Perf. | Maj. | Perf. | Perf. | Maj. | Perf. | Maj. | Perf. | Perf. | Maj. | Perf. |
| 4|4(2) | 5 | sLsLssLsLs | Perf. | Min. | Perf. | Perf. | Maj. | Perf. | Min. | Perf. | Perf. | Maj. | Perf. |
| 2|6(2) | 2 | sLssLsLssL | Perf. | Min. | Perf. | Perf. | Min. | Perf. | Min. | Perf. | Perf. | Min. | Perf. |
| 0|8(2) | 4 | ssLsLssLsL | Perf. | Min. | Dim. | Perf. | Min. | Perf. | Min. | Dim. | Perf. | Min. | Perf. |
Proposed names
Lyman Young has proposed names for the modes of 4L 6s, which are shown below. They can be found in his patent for a quartertone slide rule.
| UDP | Step pattern | Lyman Young's names |
|---|---|---|
| 0 | LsLssLsLss | Atlantic |
| 2 | LssLsLssLs | Lumian |
| 4 | sLsLssLsLs | Pacific |
| 6 | sLssLsLssL | Taliesin |
| 8 | ssLsLssLsL | Dresden |
Scale tree
Music
- The Hymn of Pergele, a short piece in Hemipyth[10] 4|4(2) (Pacific mode of 4L 6s)