|
|
Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | There is one notable low-harmonic-entropy scale with this [[MOSScales|MOS]] pattern: [[Porcupine_family|Porcupine]], in which two generators make a 6/5 and three make a 4/3. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 11:16:26 UTC</tt>.<br>
| |
| : The original revision id was <tt>565148739</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">There is one notable low-harmonic-entropy scale with this [[MOSScales|MOS]] pattern: [[Porcupine family|Porcupine]], in which two generators make a 6/5 and three make a 4/3.
| |
|
| |
|
| Other scales include very improper (incomplete) versions of negri, 12edo, etc. | | Other scales include very improper (incomplete) versions of negri, 12edo, etc. |
| ||||||||||~ Generator ||~ Cents ||~ Comments ||
| |
| || 0\1 || || || || || 0 ||= ||
| |
| || || || || 1\10 || || 120 ||= L/s = 4 ||
| |
| || || || || || 2\19 || 126.32 ||= Negri is around here ||
| |
| || || || || || || 1200/(6+pi) || ||
| |
| || || || 1\9 || || || 133.33 ||= L/s = 3 ||
| |
| || || || || || || 1200/(6+e) || ||
| |
| || || || || || 3\26 || 138.46 || ||
| |
| || || || || || || 1200/(7+phi) || ||
| |
| || || || || 2\17 || || 141,18 || ||
| |
| || || 1\8 || || || || 150 ||= Boundary of propriety (generators
| |
| larger than this are proper) ||
| |
| || || || || || || 1200/(6+sqrt(3)) || ||
| |
| || || || || 3\23 || || 156.52 ||= ||
| |
| || || || || || || 1200/(6+phi) ||= Golden porcupine / golden hemikleismic ||
| |
| || || || || || 5\38 || 157.89 ||= ||
| |
| || || || || || || 1200/(6+pi/2) || ||
| |
| || || || 2\15 || || || 160 ||= Optimum rank range (L/s=3/2) porcupine ||
| |
| || || || || 3\22 || || 163.64 ||= Porcupine is around here ||
| |
| || 1\7 || || || || || 171.43 ||= ||</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>1L 6s</title></head><body>There is one notable low-harmonic-entropy scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern: <a class="wiki_link" href="/Porcupine%20family">Porcupine</a>, in which two generators make a 6/5 and three make a 4/3.<br />
| |
| <br />
| |
| Other scales include very improper (incomplete) versions of negri, 12edo, etc.<br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! colspan="5" | Generator |
| | ! | Cents |
| | ! | Comments |
| | |- |
| | | | 0\1 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 0 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 1\10 |
| | | | |
| | | | 120 |
| | | style="text-align:center;" | L/s = 4 |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 2\19 |
| | | | 126.32 |
| | | style="text-align:center;" | Negri is around here |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(6+pi) |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | 1\9 |
| | | | |
| | | | |
| | | | 133.33 |
| | | style="text-align:center;" | L/s = 3 |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(6+e) |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 3\26 |
| | | | 138.46 |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(7+phi) |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 2\17 |
| | | | |
| | | | 141,18 |
| | | | |
| | |- |
| | | | |
| | | | 1\8 |
| | | | |
| | | | |
| | | | |
| | | | 150 |
| | | style="text-align:center;" | Boundary of propriety (generators |
|
| |
|
| <table class="wiki_table">
| | larger than this are proper) |
| <tr>
| | |- |
| <th colspan="5">Generator<br />
| | | | |
| </th>
| | | | |
| <th>Cents<br />
| | | | |
| </th>
| | | | |
| <th>Comments<br />
| | | | |
| </th>
| | | | 1200/(6+sqrt(3)) |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>0\1<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3\23 |
| <td><br />
| | | | |
| </td>
| | | | 156.52 |
| <td><br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>0<br />
| | | | |
| </td>
| | | | |
| <td style="text-align: center;"><br />
| | | | |
| </td>
| | | | 1200/(6+phi) |
| </tr>
| | | style="text-align:center;" | Golden porcupine / golden hemikleismic |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5\38 |
| </td>
| | | | 157.89 |
| <td>1\10<br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>120<br />
| | | | |
| </td>
| | | | |
| <td style="text-align: center;">L/s = 4<br />
| | | | |
| </td>
| | | | 1200/(6+pi/2) |
| </tr>
| | | | |
| <tr>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2\15 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 160 |
| <td><br />
| | | style="text-align:center;" | Optimum rank range (L/s=3/2) porcupine |
| </td>
| | |- |
| <td>2\19<br />
| | | | |
| </td>
| | | | |
| <td>126.32<br />
| | | | |
| </td>
| | | | 3\22 |
| <td style="text-align: center;">Negri is around here<br />
| | | | |
| </td>
| | | | 163.64 |
| </tr>
| | | style="text-align:center;" | Porcupine is around here |
| <tr>
| | |- |
| <td><br />
| | | | 1\7 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 171.43 |
| <td><br />
| | | style="text-align:center;" | |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td>1200/(6+pi)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1\9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>133.33<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = 3<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1200/(6+e)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\26<br />
| |
| </td>
| |
| <td>138.46<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1200/(7+phi)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>141,18<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>1\8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>150<br />
| |
| </td>
| |
| <td style="text-align: center;">Boundary of propriety (generators<br />
| |
| 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>1200/(6+sqrt(3))<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\23<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>156.52<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>1200/(6+phi)<br />
| |
| </td>
| |
| <td style="text-align: center;">Golden porcupine / golden hemikleismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\38<br />
| |
| </td>
| |
| <td>157.89<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>1200/(6+pi/2)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\15<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>160<br />
| |
| </td>
| |
| <td style="text-align: center;">Optimum rank range (L/s=3/2) porcupine<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\22<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>163.64<br />
| |
| </td>
| |
| <td style="text-align: center;">Porcupine is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>171.43<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
There is one notable low-harmonic-entropy scale with this MOS pattern: Porcupine, in which two generators make a 6/5 and three make a 4/3.
Other scales include very improper (incomplete) versions of negri, 12edo, etc.
Generator
|
Cents
|
Comments
|
0\1
|
|
|
|
|
0
|
|
|
|
|
1\10
|
|
120
|
L/s = 4
|
|
|
|
|
2\19
|
126.32
|
Negri is around here
|
|
|
|
|
|
1200/(6+pi)
|
|
|
|
1\9
|
|
|
133.33
|
L/s = 3
|
|
|
|
|
|
1200/(6+e)
|
|
|
|
|
|
3\26
|
138.46
|
|
|
|
|
|
|
1200/(7+phi)
|
|
|
|
|
2\17
|
|
141,18
|
|
|
1\8
|
|
|
|
150
|
Boundary of propriety (generators
larger than this are proper)
|
|
|
|
|
|
1200/(6+sqrt(3))
|
|
|
|
|
3\23
|
|
156.52
|
|
|
|
|
|
|
1200/(6+phi)
|
Golden porcupine / golden hemikleismic
|
|
|
|
|
5\38
|
157.89
|
|
|
|
|
|
|
1200/(6+pi/2)
|
|
|
|
2\15
|
|
|
160
|
Optimum rank range (L/s=3/2) porcupine
|
|
|
|
3\22
|
|
163.64
|
Porcupine is around here
|
1\7
|
|
|
|
|
171.43
|
|