Gallery of 3-SN scales: Difference between revisions
→(2/1, 3/2, 6/5: 100/99)[12] (No-7 Ptolemismic): added meantone info to tables |
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| Line 1,895: | Line 1,895: | ||
!Mode in JI | !Mode in JI | ||
!Step pattern | !Step pattern | ||
!Meantone[7] | !Meantone[7] | ||
! | !UDP | ||
!Diatonic mode | !Diatonic mode | ||
!Porcupine[7] | |||
!UDP | |||
!Porcupine mode | |||
![[Mode height]] | ![[Mode height]] | ||
|- | |- | ||
| Line 1,906: | Line 1,909: | ||
|<nowiki>0|6</nowiki> | |<nowiki>0|6</nowiki> | ||
|Lochrian | |Lochrian | ||
|sssssLs | |||
|<nowiki>1|5</nowiki> | |||
|Dark diminished | |||
| -0.0529 | | -0.0529 | ||
|- | |- | ||
| Line 1,914: | Line 1,920: | ||
|<nowiki>2|4</nowiki> | |<nowiki>2|4</nowiki> | ||
|Aeolian | |Aeolian | ||
|ssssssL | |||
|<nowiki>0|6</nowiki> | |||
|Magical seventh | |||
| -0.0316 | | -0.0316 | ||
|- | |- | ||
| Line 1,922: | Line 1,931: | ||
|<nowiki>1|5</nowiki> | |<nowiki>1|5</nowiki> | ||
|Phrygian | |Phrygian | ||
|ssLssss | |||
|<nowiki>4|2</nowiki> | |||
|Bright minor | |||
| -0.0213 | | -0.0213 | ||
|- | |- | ||
| Line 1,930: | Line 1,942: | ||
|<nowiki>3|3</nowiki> | |<nowiki>3|3</nowiki> | ||
|Dorian | |Dorian | ||
|sssLsss | |||
|<nowiki>3|3</nowiki> | |||
|Dark minor | |||
|0 | |0 | ||
|- | |- | ||
| Line 1,938: | Line 1,953: | ||
|<nowiki>5|1</nowiki> | |<nowiki>5|1</nowiki> | ||
|Ionian | |Ionian | ||
|ssssLss | |||
|<nowiki>2|4</nowiki> | |||
|Bright diminished | |||
|0.0213 | |0.0213 | ||
|- | |- | ||
| Line 1,946: | Line 1,964: | ||
|<nowiki>4|2</nowiki> | |<nowiki>4|2</nowiki> | ||
|Mixolydian | |Mixolydian | ||
|Lssssss | |||
|<nowiki>6|0</nowiki> | |||
|Bright major | |||
|0.0316 | |0.0316 | ||
|- | |- | ||
| Line 1,954: | Line 1,975: | ||
|<nowiki>6|0</nowiki> | |<nowiki>6|0</nowiki> | ||
|Lydian | |Lydian | ||
|sLsssss | |||
|<nowiki>5|1</nowiki> | |||
|Dark major | |||
|0.0529 | |0.0529 | ||
|} | |} | ||
| Line 1,997: | Line 2,021: | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
!Step pattern | !Step pattern | ||
!Meantone[7] | !Meantone[7] | ||
! | !UDP | ||
!Diatonic mode | !Diatonic mode | ||
!Porcupine[7] | |||
!UDP | |||
!Porcupine mode | |||
![[Mode height]] | ![[Mode height]] | ||
|- | |- | ||
| Line 2,008: | Line 2,035: | ||
|<nowiki>0|6</nowiki> | |<nowiki>0|6</nowiki> | ||
|Lochrian | |Lochrian | ||
|sssssLs | |||
|<nowiki>1|5</nowiki> | |||
|Dark diminished | |||
| -0.0616 | | -0.0616 | ||
|- | |- | ||
| Line 2,016: | Line 2,046: | ||
|<nowiki>1|5</nowiki> | |<nowiki>1|5</nowiki> | ||
|Phrygian | |Phrygian | ||
|ssLssss | |||
|<nowiki>4|2</nowiki> | |||
|Bright minor | |||
| -0.0314 | | -0.0314 | ||
|- | |- | ||
| Line 2,024: | Line 2,057: | ||
|<nowiki>2|4</nowiki> | |<nowiki>2|4</nowiki> | ||
|Aeolian | |Aeolian | ||
|ssssssL | |||
|<nowiki>0|6</nowiki> | |||
|Magical seventh | |||
| -0.0302 | | -0.0302 | ||
|- | |- | ||
| Line 2,032: | Line 2,068: | ||
|<nowiki>3|3</nowiki> | |<nowiki>3|3</nowiki> | ||
|Dorian | |Dorian | ||
|sssLsss | |||
|<nowiki>3|3</nowiki> | |||
|Dark minor | |||
|0 | |0 | ||
|- | |- | ||
| Line 2,040: | Line 2,079: | ||
|<nowiki>4|2</nowiki> | |<nowiki>4|2</nowiki> | ||
|Mixolydian | |Mixolydian | ||
|Lssssss | |||
|<nowiki>6|0</nowiki> | |||
|Bright major | |||
|0.0302 | |0.0302 | ||
|- | |- | ||
| Line 2,048: | Line 2,090: | ||
|<nowiki>5|1</nowiki> | |<nowiki>5|1</nowiki> | ||
|Ionian | |Ionian | ||
|ssssLss | |||
|<nowiki>2|4</nowiki> | |||
|Bright diminished | |||
|0.0314 | |0.0314 | ||
|- | |- | ||
| Line 2,056: | Line 2,101: | ||
|<nowiki>6|0</nowiki> | |<nowiki>6|0</nowiki> | ||
|Lydian | |Lydian | ||
|sLsssss | |||
|<nowiki>5|1</nowiki> | |||
|Dark major | |||
|0.0616 | |0.0616 | ||
|} | |} | ||
| Line 2,122: | Line 2,170: | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
!Step pattern | !Step pattern | ||
!Meantone[7] | !Meantone[7] | ||
! | !UDP | ||
!Diatonic mode | !Diatonic mode | ||
!Porcupine[7] | |||
!UDP | |||
!Porcupine mode | |||
![[Mode height]] | ![[Mode height]] | ||
|- | |- | ||
| Line 2,133: | Line 2,184: | ||
|<nowiki>0|6</nowiki> | |<nowiki>0|6</nowiki> | ||
|Lochrian | |Lochrian | ||
|sssssLs | |||
|<nowiki>1|5</nowiki> | |||
|Dark diminished | |||
| -0.0427 | | -0.0427 | ||
|- | |- | ||
| Line 2,141: | Line 2,195: | ||
|<nowiki>2|4</nowiki> | |<nowiki>2|4</nowiki> | ||
|Aeolian | |Aeolian | ||
|ssssssL | |||
|<nowiki>0|6</nowiki> | |||
|Magical seventh | |||
| -0.0374 | | -0.0374 | ||
|- | |- | ||
| Line 2,149: | Line 2,206: | ||
|<nowiki>1|5</nowiki> | |<nowiki>1|5</nowiki> | ||
|Phrygian | |Phrygian | ||
|ssLssss | |||
|<nowiki>4|2</nowiki> | |||
|Bright minor | |||
| -0.0053 | | -0.0053 | ||
|- | |- | ||
| Line 2,157: | Line 2,217: | ||
|<nowiki>3|3</nowiki> | |<nowiki>3|3</nowiki> | ||
|Dorian | |Dorian | ||
|sssLsss | |||
|<nowiki>3|3</nowiki> | |||
|Dark minor | |||
|0 | |0 | ||
|- | |- | ||
| Line 2,165: | Line 2,228: | ||
|<nowiki>5|1</nowiki> | |<nowiki>5|1</nowiki> | ||
|Ionian | |Ionian | ||
|ssssLss | |||
|<nowiki>2|4</nowiki> | |||
|Bright diminished | |||
|0.0053 | |0.0053 | ||
|- | |- | ||
| Line 2,173: | Line 2,239: | ||
|<nowiki>4|2</nowiki> | |<nowiki>4|2</nowiki> | ||
|Mixolydian | |Mixolydian | ||
|Lssssss | |||
|<nowiki>6|0</nowiki> | |||
|Bright major | |||
|0.0374 | |0.0374 | ||
|- | |- | ||
| Line 2,181: | Line 2,250: | ||
|<nowiki>6|0</nowiki> | |<nowiki>6|0</nowiki> | ||
|Lydian | |Lydian | ||
|sLsssss | |||
|<nowiki>5|1</nowiki> | |||
|Dark major | |||
|0.0427 | |0.0427 | ||
|} | |} | ||
| Line 2,243: | Line 2,315: | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
!Step pattern | !Step pattern | ||
!Meantone[7] | !Meantone[7] | ||
! | !UDP | ||
!Porcupine[7] | |||
!UDP | |||
!Porcupine mode | |||
!Diatonic mode | !Diatonic mode | ||
![[Mode height]] | ![[Mode height]] | ||
| Line 2,253: | Line 2,328: | ||
|sLLsLLL | |sLLsLLL | ||
|<nowiki>0|6</nowiki> | |<nowiki>0|6</nowiki> | ||
|sssssLs | |||
|<nowiki>1|5</nowiki> | |||
|Dark diminished | |||
|Lochrian | |Lochrian | ||
| -0.0591 | | -0.0591 | ||
| Line 2,261: | Line 2,339: | ||
|LsLLsLL | |LsLLsLL | ||
|<nowiki>2|4</nowiki> | |<nowiki>2|4</nowiki> | ||
|ssssssL | |||
|<nowiki>0|6</nowiki> | |||
|Magical seventh | |||
|Aeolian | |Aeolian | ||
| -0.0433 | | -0.0433 | ||
| Line 2,269: | Line 2,350: | ||
|sLLLsLL | |sLLLsLL | ||
|<nowiki>1|5</nowiki> | |<nowiki>1|5</nowiki> | ||
|ssLssss | |||
|<nowiki>4|2</nowiki> | |||
|Bright minor | |||
|Phrygian | |Phrygian | ||
| -0.0158 | | -0.0158 | ||
| Line 2,277: | Line 2,361: | ||
|LsLLLsL | |LsLLLsL | ||
|<nowiki>3|3</nowiki> | |<nowiki>3|3</nowiki> | ||
|sssLsss | |||
|<nowiki>3|3</nowiki> | |||
|Dark minor | |||
|Dorian | |Dorian | ||
|0 | |0 | ||
| Line 2,285: | Line 2,372: | ||
|LLsLLLs | |LLsLLLs | ||
|<nowiki>5|1</nowiki> | |<nowiki>5|1</nowiki> | ||
|ssssLss | |||
|<nowiki>2|4</nowiki> | |||
|Bright diminished | |||
|Ionian | |Ionian | ||
|0.0158 | |0.0158 | ||
| Line 2,293: | Line 2,383: | ||
|LLsLLsL | |LLsLLsL | ||
|<nowiki>4|2</nowiki> | |<nowiki>4|2</nowiki> | ||
|Lssssss | |||
|<nowiki>6|0</nowiki> | |||
|Bright major | |||
|Mixolydian | |Mixolydian | ||
|0.0433 | |0.0433 | ||
| Line 2,301: | Line 2,394: | ||
|LLLsLLs | |LLLsLLs | ||
|<nowiki>6|0</nowiki> | |<nowiki>6|0</nowiki> | ||
|sLsssss | |||
|<nowiki>5|1</nowiki> | |||
|Dark major | |||
|Lydian | |Lydian | ||
|0.0591 | |0.0591 | ||
| Line 2,358: | Line 2,454: | ||
!Mode in JI | !Mode in JI | ||
!Step pattern | !Step pattern | ||
!Meantone[12] | !Meantone[12] | ||
! | !UDP | ||
![[Mode height]] | ![[Mode height]] | ||
|- | |- | ||
| Line 2,503: | Line 2,599: | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
!Step pattern | !Step pattern | ||
!Meantone[12] | !Meantone[12] | ||
! | !UDP | ||
![[Mode height]] | ![[Mode height]] | ||
|- | |- | ||