User:BudjarnLambeth/Substitute harmonic: Difference between revisions
m →Narrowed Compton: Added recommended ETs, clarified statement on wolf intervals |
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==== Narrowed Compton ==== | ==== Narrowed Compton ==== | ||
These temperaments are like [[compton]] but with a smaller generator. They reduce the incidence of [[wolf]] fifths, and allow the melodic shape of [[compton]] to be used in tunings (especially [[edo]]s that might not otherwise support it. | These temperaments are like [[compton]] but with a smaller generator. They reduce the incidence of [[wolf]] fifths, especially in the smaller 24- and 36-tone [[MOS scale]]s, and allow the melodic shape of [[compton]] to be used in tunings (especially [[edo]]s that might not otherwise support it. | ||
These temperaments work by replacing the 5th harmonic with a slightly sharper substitute harmonic. These temperaments do not follow the naming conventions of other sharp-substitute temperaments. Instead these should be named using words that end with “com” or “come”. | These temperaments work by replacing the 5th harmonic with a slightly sharper substitute harmonic. These temperaments do not follow the naming conventions of other sharp-substitute temperaments. Instead these should be named using words that end with “com” or “come”. | ||
===== Dotcom ===== | ===== Dotcom ===== | ||
Subgroup: 2.3.43 | |||
Recommended ETs: [[144edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 290: | Line 294: | ||
⟨ 48 76 261 ] ⟩ | ⟨ 48 76 261 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 329: | Line 334: | ||
===== Sitcom ===== | ===== Sitcom ===== | ||
Subgroup: 2.3.85 | |||
Recommended ETs: [[96edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 336: | Line 344: | ||
⟨ 48 76 307 ] ⟩ | ⟨ 48 76 307 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 375: | Line 384: | ||
===== Romcom ===== | ===== Romcom ===== | ||
Subgroup: 2.3.91 | |||
Recommended ETs: [[228edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
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⟨ 36 57 235 ] ⟩ | ⟨ 36 57 235 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
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===== Income ===== | ===== Income ===== | ||
Subgroup: 2.3.135 | |||
Recommended ETs: [[96edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 428: | Line 444: | ||
⟨ 48 76 339 ] ⟩ | ⟨ 48 76 339 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 467: | Line 484: | ||
===== Outcome ===== | ===== Outcome ===== | ||
Subgroup: 2.3.143 | |||
Recommended ETs: [[96edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
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⟨ 48 76 343 ] ⟩ | ⟨ 48 76 343 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
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===== Telecom ===== | ===== Telecom ===== | ||
Subgroup: 2.3.191 | |||
Recommended ETs: [[108edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 520: | Line 544: | ||
⟨ 48 76 363 ] ⟩ | ⟨ 48 76 363 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 559: | Line 584: | ||
===== Intercom ===== | ===== Intercom ===== | ||
Subgroup: 2.3.193 | |||
Recommended ETs: [[180edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 566: | Line 594: | ||
⟨ 36 57 274 ] ⟩ | ⟨ 36 57 274 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 605: | Line 634: | ||
===== Newcome ===== | ===== Newcome ===== | ||
Subgroup: 2.3.217 | |||
Recommended ETs: [[132edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 612: | Line 644: | ||
⟨ 36 57 280 ] ⟩ | ⟨ 36 57 280 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 651: | Line 684: | ||
===== Satcom ===== | ===== Satcom ===== | ||
Subgroup: 2.3.227 | |||
Recommended ETs: [[96edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 658: | Line 694: | ||
⟨ 48 76 375 ] ⟩ | ⟨ 48 76 375 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 697: | Line 734: | ||
===== Minicom ===== | ===== Minicom ===== | ||
Subgroup: 2.3.245 | |||
Recommended ETs: [[240edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 704: | Line 744: | ||
⟨ 24 38 191 ] ⟩ | ⟨ 24 38 191 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||
| Line 743: | Line 784: | ||
===== Glycome ===== | ===== Glycome ===== | ||
Subgroup: 2.3.255 | |||
Recommended ETs: [[108edo]] | |||
Equal Temperament Mappings | Equal Temperament Mappings | ||
| Line 750: | Line 794: | ||
⟨ 48 76 383 ] ⟩ | ⟨ 48 76 383 ] ⟩ | ||
Reduced Mapping | Reduced Mapping | ||