39-odd-limit: Difference between revisions
mNo edit summary |
Proposed a name for all the 39-odd intervals (also thanks Overthink for discovering that distinct odd-limit EDO!) |
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| Line 171: | Line 171: | ||
|40/39 | |40/39 | ||
|43.831 | |43.831 | ||
| | |tridecimal minor diesis | ||
| | |thuyo 2nd | ||
|- | |- | ||
|39/38 | |39/38 | ||
|44.97 | |44.97 | ||
| | |undevicesimal diesis | ||
| | |nutho 2nd | ||
|- | |- | ||
|39/37 | |39/37 | ||
|91.139 | |91.139 | ||
| | |trigesimoseptimal limma | ||
| | |thisutho 2nd | ||
|- | |- | ||
|39/35 | |39/35 | ||
|187.343 | |187.343 | ||
| | |animist major second | ||
| | |thorugu 2nd | ||
|- | |- | ||
|44/39 | |44/39 | ||
|208.835 | |208.835 | ||
| | |major minthic tone | ||
| | |thulo 2nd | ||
|- | |- | ||
|39/34 | |39/34 | ||
|237.527 | |237.527 | ||
| | |septendecimal supermajor second | ||
| | |sutho 2nd | ||
|- | |- | ||
|46/39 | |46/39 | ||
|285.792 | |285.792 | ||
| | |laodicismic minor third | ||
| | |twethothu 3rd | ||
|- | |||
|39/32 | |||
|342.483 | |||
|lesser tridecimal neutral third | |||
|tho 3rd | |||
|- | |- | ||
|39/31 | |39/31 | ||
|397.447 | |397.447 | ||
| | |trigesimoprimal major third | ||
| | |thiwutho 4th | ||
|- | |- | ||
|50/39 | |50/39 | ||
|430.145 | |430.145 | ||
| | |major minthmic supermajor third | ||
| | |thuyoyo 3rd | ||
|- | |- | ||
|39/29 | |39/29 | ||
|512.905 | |512.905 | ||
| | |vigesimononal acute fourth | ||
| | |twenutho 4th | ||
|- | |- | ||
|39/28 | |39/28 | ||
|573.657 | |573.657 | ||
| | |mynucumic lesser tritone | ||
| | |thoru 4th | ||
|- | |- | ||
|56/39 | |56/39 | ||
|626.343 | |626.343 | ||
| | |mynucumic greater tritone | ||
| | |thuzo 5th | ||
|- | |- | ||
|58/39 | |58/39 | ||
|687.095 | |687.095 | ||
| | |vigesimononal grave fifth | ||
| | |twenothu 5th | ||
|- | |- | ||
|39/25 | |39/25 | ||
|769.855 | |769.855 | ||
| | |major minthmic subminor sixth | ||
| | |thogugu 6th | ||
|- | |- | ||
|62/39 | |62/39 | ||
|802.553 | |802.553 | ||
| | |trigesimoprimal minor sixth | ||
| | |thiwothu 5th | ||
|- | |||
|64/39 | |||
|857.517 | |||
|greater tridecimal neutral sixth | |||
|thu 6th | |||
|- | |- | ||
|39/23 | |39/23 | ||
|914.208 | |914.208 | ||
| | |laodicismic major sixth | ||
| | |twethutho 6th | ||
|- | |- | ||
|68/39 | |68/39 | ||
|962.473 | |962.473 | ||
| | |septendecimal subminor seventh | ||
| | |sothu 7th | ||
|- | |- | ||
|39/22 | |39/22 | ||
|991.165 | |991.165 | ||
| | |major minthic minor seventh | ||
| | |tholu 7th | ||
|- | |- | ||
|70/39 | |70/39 | ||
|1012.657 | |1012.657 | ||
| | |animist minor seventh | ||
| | |thuzoyo 7th | ||
|- | |- | ||
|74/39 | |74/39 | ||
|1108.861 | |1108.861 | ||
| | |trigesimoseptimal major seventh | ||
| | |thisothu octave | ||
|- | |- | ||
|76/39 | |76/39 | ||
|1155.03 | |1155.03 | ||
| | |vigesimononal suboctave | ||
| | |nothu octave | ||
|- | |- | ||
|39/20 | |39/20 | ||
|1156.169 | |1156.169 | ||
| | |tridecimal suboctave | ||
| | |thogu octave | ||
|} | |} | ||
The smallest [[equal division of the octave]] which is consistent to the 39-odd-limit is [[311edo]] (by virtue of it being consistent in the [[41-odd-limit]]); that which is distinctly consistent to the same is [[ | The smallest [[equal division of the octave]] which is consistent to the 39-odd-limit is [[311edo]] (by virtue of it being consistent in the [[41-odd-limit]]); that which is distinctly consistent to the same is [[2554edo]]. | ||