|
|
(33 intermediate revisions by 12 users not shown) |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Periods = 2 |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-06 12:08:58 UTC</tt>.<br>
| | | nLargeSteps = 6 |
| : The original revision id was <tt>565464185</tt>.<br>
| | | nSmallSteps = 4 |
| : The revision comment was: <tt></tt><br>
| | | Equalized = 2 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Collapsed = 1 |
| <h4>Original Wikitext content:</h4>
| | | Pattern = LLsLsLLsLs |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[MOSScales|MOS]] pattern with 6 large steps and 4 small steps. Good temperaments include [[antikythera]], [[lemba]], and [[echidnic]].
| | | Name = lemon |
| ||||||||||~ Generator ||~ Cents ||~ Comments || | | }} |
| || 1\6 || || || || || 200 ||= ||
| | {{MOS intro}} |
| || || || || || 6\34 || 211.765 ||= ||
| | Supported temperaments include [[antikythera]], [[lemba]], and [[echidnic]]. |
| || || || || 5\28 || || 214.29 ||= || | |
| || || || || || || 217.51 ||= L/s = pi ||
| |
| || || || 4\22 || || || 218.18 ||= Antikythera is around here ||
| |
| || || || || || || 219.695 ||= L/s = e || | |
| || || || || || 11\60 || 220 || ||
| |
| || || || || || || 220.3 || ||
| |
| || || || || 7\38 || || 221.05 ||= ||
| |
| || || 3\16 || || || || 225 ||= Boundary of propriety (generators larger than this are proper) || | |
| || || || || || || 227.79 || ||
| |
| || || || || 8\42 || || 228.57 ||= || | |
| || || || || || || 229.19 || ||
| |
| || || || || || 13\68 || 229.48 || || | |
| || || || || || || 229.6 || ||
| |
| || || || 5\26 || || || 230.77 ||= Lemba is around here ||
| |
| || || || || 7\36 || || 233.33 ||= ||
| |
| || || || || || 9\46 || 234.78 ||= Echidnic is around here ||
| |
| || 2\10 || || || || || 240 ||= ||</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>6L 4s</title></head><body><a class="wiki_link" href="/MOSScales">MOS</a> pattern with 6 large steps and 4 small steps. Good temperaments include <a class="wiki_link" href="/antikythera">antikythera</a>, <a class="wiki_link" href="/lemba">lemba</a>, and <a class="wiki_link" href="/echidnic">echidnic</a>.<br />
| |
|
| |
|
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <th colspan="5">Generator<br />
| |
| </th>
| |
| <th>Cents<br />
| |
| </th>
| |
| <th>Comments<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>1\6<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>200<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>6\34<br />
| |
| </td>
| |
| <td>211.765<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\28<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>214.29<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>217.51<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = pi<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4\22<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>218.18<br />
| |
| </td>
| |
| <td style="text-align: center;">Antikythera is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>219.695<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = e<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11\60<br />
| |
| </td>
| |
| <td>220<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>220.3<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7\38<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>221.05<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>3\16<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>225<br />
| |
| </td>
| |
| <td style="text-align: center;">Boundary of propriety (generators larger than this are proper)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>227.79<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8\42<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>228.57<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>229.19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13\68<br />
| |
| </td>
| |
| <td>229.48<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>229.6<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\26<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>230.77<br />
| |
| </td>
| |
| <td style="text-align: center;">Lemba is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7\36<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>233.33<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9\46<br />
| |
| </td>
| |
| <td>234.78<br />
| |
| </td>
| |
| <td style="text-align: center;">Echidnic is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2\10<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>240<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 5/4 = Echidnic |
| | | 4/3 = Baladic |
| | | 3/2 = Lemba |
| | | 8/3 = Divination |
| | | 3/1 = Antikythera/astrology |
| | | 10/3 = Wizard |
| | }} |
| | |
| | {{todo|expand}} |
| | |
| | [[Category:lemon| ]] |
| | [[Category:10-tone scales]]<!-- main article --> |
6L 4s, named lemon in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 4 small steps, with a period of 3 large steps and 2 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 360 ¢ to 400 ¢, or from 200 ¢ to 240 ¢.
Supported temperaments include antikythera, lemba, and echidnic.
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 interval regions.
Intervals
Intervals of 6L 4s
Intervals
|
Steps subtended
|
Range in cents
|
Generic
|
Specific
|
Abbrev.
|
0-lemstep
|
Perfect 0-lemstep
|
P0les
|
0
|
0.0 ¢
|
1-lemstep
|
Minor 1-lemstep
|
m1les
|
s
|
0.0 ¢ to 120.0 ¢
|
Major 1-lemstep
|
M1les
|
L
|
120.0 ¢ to 200.0 ¢
|
2-lemstep
|
Perfect 2-lemstep
|
P2les
|
L + s
|
200.0 ¢ to 240.0 ¢
|
Augmented 2-lemstep
|
A2les
|
2L
|
240.0 ¢ to 400.0 ¢
|
3-lemstep
|
Diminished 3-lemstep
|
d3les
|
L + 2s
|
200.0 ¢ to 360.0 ¢
|
Perfect 3-lemstep
|
P3les
|
2L + s
|
360.0 ¢ to 400.0 ¢
|
4-lemstep
|
Minor 4-lemstep
|
m4les
|
2L + 2s
|
400.0 ¢ to 480.0 ¢
|
Major 4-lemstep
|
M4les
|
3L + s
|
480.0 ¢ to 600.0 ¢
|
5-lemstep
|
Perfect 5-lemstep
|
P5les
|
3L + 2s
|
600.0 ¢
|
6-lemstep
|
Minor 6-lemstep
|
m6les
|
3L + 3s
|
600.0 ¢ to 720.0 ¢
|
Major 6-lemstep
|
M6les
|
4L + 2s
|
720.0 ¢ to 800.0 ¢
|
7-lemstep
|
Perfect 7-lemstep
|
P7les
|
4L + 3s
|
800.0 ¢ to 840.0 ¢
|
Augmented 7-lemstep
|
A7les
|
5L + 2s
|
840.0 ¢ to 1000.0 ¢
|
8-lemstep
|
Diminished 8-lemstep
|
d8les
|
4L + 4s
|
800.0 ¢ to 960.0 ¢
|
Perfect 8-lemstep
|
P8les
|
5L + 3s
|
960.0 ¢ to 1000.0 ¢
|
9-lemstep
|
Minor 9-lemstep
|
m9les
|
5L + 4s
|
1000.0 ¢ to 1080.0 ¢
|
Major 9-lemstep
|
M9les
|
6L + 3s
|
1080.0 ¢ to 1200.0 ¢
|
10-lemstep
|
Perfect 10-lemstep
|
P10les
|
6L + 4s
|
1200.0 ¢
|
Generator chain
Generator chain of 6L 4s
Bright gens |
Scale degree |
Abbrev. |
Scale degree |
Abbrev.
|
7 |
Augmented 1-lemdegree |
A1led |
Augmented 6-lemdegree |
A6led
|
6 |
Augmented 3-lemdegree |
A3led |
Augmented 8-lemdegree |
A8led
|
5 |
Augmented 0-lemdegree |
A0led |
Augmented 5-lemdegree |
A5led
|
4 |
Augmented 2-lemdegree |
A2led |
Augmented 7-lemdegree |
A7led
|
3 |
Major 4-lemdegree |
M4led |
Major 9-lemdegree |
M9led
|
2 |
Major 1-lemdegree |
M1led |
Major 6-lemdegree |
M6led
|
1 |
Perfect 3-lemdegree |
P3led |
Perfect 8-lemdegree |
P8led
|
0 |
Perfect 0-lemdegree Perfect 5-lemdegree |
P0led P5led |
Perfect 5-lemdegree Perfect 10-lemdegree |
P5led P10led
|
−1 |
Perfect 2-lemdegree |
P2led |
Perfect 7-lemdegree |
P7led
|
−2 |
Minor 4-lemdegree |
m4led |
Minor 9-lemdegree |
m9led
|
−3 |
Minor 1-lemdegree |
m1led |
Minor 6-lemdegree |
m6led
|
−4 |
Diminished 3-lemdegree |
d3led |
Diminished 8-lemdegree |
d8led
|
−5 |
Diminished 5-lemdegree |
d5led |
Diminished 10-lemdegree |
d10led
|
−6 |
Diminished 2-lemdegree |
d2led |
Diminished 7-lemdegree |
d7led
|
−7 |
Diminished 4-lemdegree |
d4led |
Diminished 9-lemdegree |
d9led
|
Modes
Scale degrees of the modes of 6L 4s
UDP
|
Cyclic order
|
Step pattern
|
Scale degree (lemdegree)
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
8|0(2)
|
1
|
LLsLsLLsLs
|
Perf.
|
Maj.
|
Aug.
|
Perf.
|
Maj.
|
Perf.
|
Maj.
|
Aug.
|
Perf.
|
Maj.
|
Perf.
|
6|2(2)
|
4
|
LsLLsLsLLs
|
Perf.
|
Maj.
|
Perf.
|
Perf.
|
Maj.
|
Perf.
|
Maj.
|
Perf.
|
Perf.
|
Maj.
|
Perf.
|
4|4(2)
|
2
|
LsLsLLsLsL
|
Perf.
|
Maj.
|
Perf.
|
Perf.
|
Min.
|
Perf.
|
Maj.
|
Perf.
|
Perf.
|
Min.
|
Perf.
|
2|6(2)
|
5
|
sLLsLsLLsL
|
Perf.
|
Min.
|
Perf.
|
Perf.
|
Min.
|
Perf.
|
Min.
|
Perf.
|
Perf.
|
Min.
|
Perf.
|
0|8(2)
|
3
|
sLsLLsLsLL
|
Perf.
|
Min.
|
Perf.
|
Dim.
|
Min.
|
Perf.
|
Min.
|
Perf.
|
Dim.
|
Min.
|
Perf.
|
Scale tree
Scale tree and tuning spectrum of 6L 4s
Generator(edo)
|
Cents
|
Step ratio
|
Comments
|
Bright
|
Dark
|
L:s
|
Hardness
|
3\10
|
|
|
|
|
|
360.000
|
240.000
|
1:1
|
1.000
|
Equalized 6L 4s
|
|
|
|
|
|
17\56
|
364.286
|
235.714
|
6:5
|
1.200
|
|
|
|
|
|
14\46
|
|
365.217
|
234.783
|
5:4
|
1.250
|
Echidnic
|
|
|
|
|
|
25\82
|
365.854
|
234.146
|
9:7
|
1.286
|
|
|
|
|
11\36
|
|
|
366.667
|
233.333
|
4:3
|
1.333
|
Supersoft 6L 4s Baladic
|
|
|
|
|
|
30\98
|
367.347
|
232.653
|
11:8
|
1.375
|
|
|
|
|
|
19\62
|
|
367.742
|
232.258
|
7:5
|
1.400
|
|
|
|
|
|
|
27\88
|
368.182
|
231.818
|
10:7
|
1.429
|
|
|
|
8\26
|
|
|
|
369.231
|
230.769
|
3:2
|
1.500
|
Soft 6L 4s Lemba
|
|
|
|
|
|
29\94
|
370.213
|
229.787
|
11:7
|
1.571
|
|
|
|
|
|
21\68
|
|
370.588
|
229.412
|
8:5
|
1.600
|
|
|
|
|
|
|
34\110
|
370.909
|
229.091
|
13:8
|
1.625
|
|
|
|
|
13\42
|
|
|
371.429
|
228.571
|
5:3
|
1.667
|
Semisoft 6L 4s
|
|
|
|
|
|
31\100
|
372.000
|
228.000
|
12:7
|
1.714
|
|
|
|
|
|
18\58
|
|
372.414
|
227.586
|
7:4
|
1.750
|
|
|
|
|
|
|
23\74
|
372.973
|
227.027
|
9:5
|
1.800
|
|
|
5\16
|
|
|
|
|
375.000
|
225.000
|
2:1
|
2.000
|
Basic 6L 4s Scales with tunings softer than this are proper
|
|
|
|
|
|
22\70
|
377.143
|
222.857
|
9:4
|
2.250
|
|
|
|
|
|
17\54
|
|
377.778
|
222.222
|
7:3
|
2.333
|
|
|
|
|
|
|
29\92
|
378.261
|
221.739
|
12:5
|
2.400
|
|
|
|
|
12\38
|
|
|
378.947
|
221.053
|
5:2
|
2.500
|
Semihard 6L 4s
|
|
|
|
|
|
31\98
|
379.592
|
220.408
|
13:5
|
2.600
|
|
|
|
|
|
19\60
|
|
380.000
|
220.000
|
8:3
|
2.667
|
Divination
|
|
|
|
|
|
26\82
|
380.488
|
219.512
|
11:4
|
2.750
|
|
|
|
7\22
|
|
|
|
381.818
|
218.182
|
3:1
|
3.000
|
Hard 6L 4s Antikythera/astrology
|
|
|
|
|
|
23\72
|
383.333
|
216.667
|
10:3
|
3.333
|
Wizard
|
|
|
|
|
16\50
|
|
384.000
|
216.000
|
7:2
|
3.500
|
|
|
|
|
|
|
25\78
|
384.615
|
215.385
|
11:3
|
3.667
|
|
|
|
|
9\28
|
|
|
385.714
|
214.286
|
4:1
|
4.000
|
Superhard 6L 4s
|
|
|
|
|
|
20\62
|
387.097
|
212.903
|
9:2
|
4.500
|
|
|
|
|
|
11\34
|
|
388.235
|
211.765
|
5:1
|
5.000
|
|
|
|
|
|
|
13\40
|
390.000
|
210.000
|
6:1
|
6.000
|
|
2\6
|
|
|
|
|
|
400.000
|
200.000
|
1:0
|
→ ∞
|
Collapsed 6L 4s
|