User:Moremajorthanmajor/9edIX: Difference between revisions
| Line 3: | Line 3: | ||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {| class="wikitable" | ||
! rowspan="2" |Degrees | |||
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament | |||
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament | |||
! colspan="2" |Aeolian Mode Neapolitan Temperament | |||
|- | |- | ||
! | !Absolute Minimum | ||
! |Minimum | ! |Minimum | ||
! |Maximum | ! |Maximum | ||
! |Minimum | ! |Minimum | ||
! | | ! |Maximum | ||
! | !Minimum | ||
! |Maximum | ! |Maximum | ||
|- | |- | ||
| |1 | | |1 | ||
| | |133.333 | ||
| | | | |138.667 | ||
| | | | colspan="2"|146.667 | ||
| | | | colspan="2"|152.381 | ||
| | | | |160 | ||
|- | |- | ||
| |2 | | |2 | ||
| | |266.667 | ||
| | |277.333 | ||
| | | | colspan="2"|293.333 | ||
| | | | colspan="2"|304.762 | ||
| | |320 | ||
|- | |- | ||
| |3 | | |3 | ||
| | |400 | ||
| | |416 | ||
| | | | colspan="2"|440 | ||
| | | | colspan="2"|457.143 | ||
| | |480 | ||
|- | |- | ||
| |4 | | |4 | ||
| | |566.667 | ||
| | |554.667 | ||
| | | | colspan="2"|586.667 | ||
| | | | colspan="2"|609.524 | ||
| | |640 | ||
|- | |- | ||
| |5 | | |5 | ||
| | |633.333 | ||
| | |693.333 | ||
| | | | colspan="2"|733.333 | ||
| | | | colspan="2"|761.905 | ||
| | |800 | ||
|- | |- | ||
| |6 | | |6 | ||
| | |800 | ||
| | |832 | ||
| | | | colspan="2"|880 | ||
| | | | colspan="2"|914.286 | ||
| | |960 | ||
|- | |- | ||
| |7 | | |7 | ||
| | |933.333 | ||
| | |970.667 | ||
| | | | colspan="2"|1026.667 | ||
| | | | colspan="2"|1066.667 | ||
| | |1120 | ||
|- | |- | ||
|8 | |8 | ||
| | |1066.667 | ||
| | |1109.333 | ||
| | | colspan="2" |1177.333 | ||
| | | colspan="2" |1219.048 | ||
|1219.048 | |1280 | ||
|} | |}Golden Tunings | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! |Degrees | ! |Degrees | ||
! | | ! |Phrygian Mode | ||
! | | ! |Phrygian-Aeolian Mode | ||
! | | ! |Aeolian Mode | ||
|- | |- | ||
| |1 | | |1 | ||
| | | | |145.891 | ||
| |148.392 | |||
| |154.714 | | |154.714 | ||
|- | |- | ||
| |2 | | |2 | ||
| | | |291.781 | ||
| |296.7845 | |||
| |308.429 | | |308.429 | ||
|- | |- | ||
| |3 | | |3 | ||
| | | |437.672 | ||
| |445.177 | |||
| |464.143 | | |464.143 | ||
|- | |- | ||
| |4 | | |4 | ||
| | | |583.562 | ||
| |593.5659 | |||
| |618.857 | | |618.857 | ||
|- | |- | ||
| |5 | | |5 | ||
| | | |729.543 | ||
| |741.961 | |||
| |773.572 | | |773.572 | ||
|- | |- | ||
| |6 | | |6 | ||
| | | |875.3435 | ||
| |890.354 | |||
| |928.286 | | |928.286 | ||
|- | |- | ||
| |7 | | |7 | ||
| | | |1021.234 | ||
| |1038.746 | |||
| |1083 | | |1083 | ||
|- | |- | ||
|8 | |8 | ||
| | |1167.125 | ||
|1187.138 | |||
|1237.715 | |1237.715 | ||
| | |} | ||
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later. | |||
[[Category:9-tone]] | [[Category:9-tone]] | ||
[[Category:ed9/4]] | [[Category:ed9/4]] | ||