User:Moremajorthanmajor/9edIX: Difference between revisions
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==Intervals== | ==Intervals== | ||
Phrygian Mode (aka Double) Neapolitan Temperament | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | Degrees | ! |Degrees | ||
! | Minimum | ! |Minimum | ||
! | <span style="display: block; text-align: center;"> | ! |<span style="display: block; text-align: center;">Mean</span> | ||
! | <span style="display: block; text-align: center;">Median</span> | ! |<span style="display: block; text-align: center;">Median</span> | ||
! | <span style="display: block; text-align: center;"> | ! |<span style="display: block; text-align: center;">Golden</span> | ||
! |Maximum | |||
! | Maximum | |||
|- | |- | ||
| | 1 | | |1 | ||
| | | | rowspan="8"|see [[9edo]] | ||
| | | | |140 | ||
| | | | |145.4545 | ||
| | | | |145.891 | ||
| | | | |146.667 | ||
|- | |- | ||
| | 2 | | |2 | ||
| | | | |280 | ||
| | 290. | | |290.909 | ||
| | | | |291.781 | ||
| | | | |293.333 | ||
|- | |- | ||
| | 3 | | |3 | ||
| | | | |420 | ||
| |436.364 | |||
| | | | |437.672 | ||
| |440 | |||
| | | |||
| | | |||
|- | |- | ||
| | 4 | | |4 | ||
| | | | |560 | ||
| | 581. | | |581.818 | ||
| | | | |583.562 | ||
| | | | |586.667 | ||
|- | |- | ||
| | 5 | | |5 | ||
| | | | |700 | ||
| | | | |727.273 | ||
| | | | |729.543 | ||
| | | | |733.333 | ||
|- | |- | ||
| | 6 | | |6 | ||
| | | | |840 | ||
| |872.727 | |||
| | | | |875.3435 | ||
| |880 | |||
| | | |||
| | | |||
|- | |- | ||
| | 7 | | |7 | ||
| | | | |980 | ||
| | | | |1018.182 | ||
| | | | |1021.234 | ||
| | | | |1026.667 | ||
|- | |- | ||
|8 | |||
| | | |1120 | ||
| | |1163.636 | ||
| | |1167.125 | ||
|1177.333 | |||
|} | |} | ||
Phrygian-Aeolian Mode Neapolitan Temperament | |||
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later. | {| class="wikitable" | ||
|- | |||
! |Degrees | |||
! |Minimum | |||
! |<span style="display: block; text-align: center;">Golden</span> | |||
! |<span style="display: block; text-align: center;">Mean</span> | |||
! |<span style="display: block; text-align: center;">Median</span> | |||
! |Maximum | |||
|- | |||
| |1 | |||
| |146.667 | |||
| |148.392 | |||
| |149.524 | |||
| |151.111 | |||
| |152.381 | |||
|- | |||
| |2 | |||
|293.333 | |||
| |296.7845 | |||
| |299.048 | |||
| |302.222 | |||
|304.762 | |||
|- | |||
| |3 | |||
|440 | |||
| |445.177 | |||
| |448.571 | |||
| |453.333 | |||
|457.143 | |||
|- | |||
| |4 | |||
|586.667 | |||
| |593.5659 | |||
| |598.095 | |||
| |604.444 | |||
|609.524 | |||
|- | |||
| |5 | |||
|733.333 | |||
| |741.961 | |||
| |747.619 | |||
| |755.556 | |||
|761.905 | |||
|- | |||
| |6 | |||
|880 | |||
| |890.354 | |||
| |897.143 | |||
| |906.667 | |||
|914.286 | |||
|- | |||
| |7 | |||
|1026.667 | |||
| |1038.746 | |||
| |1046.667 | |||
| |1057.778 | |||
|1066.667 | |||
|- | |||
|8 | |||
|1177.333 | |||
|1187.138 | |||
|1196.1905 | |||
|1208.889 | |||
|1219.048 | |||
|} | |||
Aeolian Mode Neapolitan Temperament | |||
{| class="wikitable" | |||
|- | |||
! |Degrees | |||
! |Minimum | |||
! |<span style="display: block; text-align: center;">Golden</span> | |||
! |<span style="display: block; text-align: center;">Median</span> | |||
! |ed(9/4) | |||
! |<span style="display: block; text-align: center;">Mean</span> | |||
! |Maximum | |||
|- | |||
| |1 | |||
| |152.381 | |||
| |154.714 | |||
| |155.556 | |||
| |155.99 | |||
| |156.1905 | |||
| |160 | |||
|- | |||
| |2 | |||
|304.762 | |||
| |308.429 | |||
| |311.111 | |||
| |311.98 | |||
| |312.381 | |||
|320 | |||
|- | |||
| |3 | |||
|457.143 | |||
| |464.143 | |||
| |466.667 | |||
| |467.97 | |||
| |468.571 | |||
|480 | |||
|- | |||
| |4 | |||
|609.524 | |||
| |618.857 | |||
| |622.222 | |||
| |623.96 | |||
| |624.762 | |||
|640 | |||
|- | |||
| |5 | |||
|761.905 | |||
| |773.572 | |||
| |777.778 | |||
| |779.95 | |||
| |780.952 | |||
|800 | |||
|- | |||
| |6 | |||
|914.286 | |||
| |928.286 | |||
| |933.333 | |||
| |935.94 | |||
| |937.143 | |||
|960 | |||
|- | |||
| |7 | |||
|1066.667 | |||
| |1083 | |||
| |1088.889 | |||
| |1091.93 | |||
| |1093.333 | |||
|1120 | |||
|- | |||
|8 | |||
|1219.048 | |||
|1237.715 | |||
|1244.444 | |||
|1247.92 | |||
|1249.524 | |||
|1280 | |||
|}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]] | ||