User:Moremajorthanmajor/8edIX: 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="7"|see [[8edo]] | ||
| | | | |157.5 | ||
| | | | |163.636 | ||
| |164.127 | |||
| | | | |165 | ||
| | | |||
|- | |- | ||
| | 2 | | |2 | ||
| | | | |315 | ||
| | | | |327.273 | ||
| | | | |328.254 | ||
| |330 | |||
| | | |||
|- | |- | ||
| | 3 | | |3 | ||
| | | | |472.5 | ||
| | 490. | | |490.909 | ||
| | | | |492.381 | ||
| |495 | |||
| | | |||
|- | |- | ||
| | 4 | | |4 | ||
| | | | |630 | ||
| | | | |654.5455 | ||
| | | | |656.508 | ||
| |660 | |||
| | | |||
|- | |- | ||
| | 5 | | |5 | ||
| | | | |787.5 | ||
| | | | |818.181 | ||
| | | | |820.6345 | ||
| |825 | |||
| | | |||
|- | |- | ||
| | 6 | | |6 | ||
| | | | |945 | ||
| | | | |981.818 | ||
| | | | |984.7615 | ||
| |990 | |||
| | | |||
|- | |- | ||
| | 7 | | |7 | ||
| | | | |1102.5 | ||
| | | | |1145.4545 | ||
| | 1155 | | |1148.888 | ||
| | 1190 | | |1155 | ||
| | 1228.421 | |} | ||
| | 1260 | Phrygian-Aeolian Mode Neapolitan Temperament | ||
{| 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 | |||
| |165 | |||
| |166.941 | |||
| |168.214 | |||
| |170 | |||
| rowspan="7"|see [[7edo]] | |||
|- | |||
| |2 | |||
|330 | |||
| |333.883 | |||
| |336.429 | |||
| |340 | |||
|- | |||
| |3 | |||
|495 | |||
| |500.824 | |||
| |504.643 | |||
| |510 | |||
|- | |||
| |4 | |||
|660 | |||
| |667.765 | |||
| |672.857 | |||
| |680 | |||
|- | |||
| |5 | |||
|825 | |||
| |834.7065 | |||
| |841.071 | |||
| |850 | |||
|- | |||
| |6 | |||
|990 | |||
| |1000.648 | |||
| |1009.286 | |||
| |1020 | |||
|- | |||
| |7 | |||
|1155 | |||
| |1168.589 | |||
| |1177.5 | |||
| |1190 | |||
|} | |||
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> | |||
! |<span style="display: block; text-align: center;">ed(9/4)</span> | |||
! |<span style="display: block; text-align: center;">Mean</span> | |||
! |Maximum | |||
|- | |||
| |1 | |||
| rowspan="7"|see [[7edo]] | |||
| |174.053 | |||
| |175 | |||
| |175.489 | |||
| |175.714 | |||
| |180 | |||
|- | |||
| |2 | |||
| |348.107 | |||
| |350 | |||
| |350.9775 | |||
| |351.429 | |||
|360 | |||
|- | |||
| |3 | |||
| |522.161 | |||
| |525 | |||
| |526.466 | |||
| |527.143 | |||
|540 | |||
|- | |||
| |4 | |||
| |696.2145 | |||
| |700 | |||
| |701.955 | |||
| |702.857 | |||
|720 | |||
|- | |||
| |5 | |||
| |870.268 | |||
| |875 | |||
| |877.444 | |||
| |878.571 | |||
|900 | |||
|- | |||
| |6 | |||
| |1044.321 | |||
| |1050 | |||
| |1052.9325 | |||
| |1054.286 | |||
|1080 | |||
|- | |||
| |7 | |||
| |1218.375 | |||
| |1225 | |||
| |1228.421 | |||
| |1230 | |||
|1260 | |||
|} | |} | ||
[[Category:8-tone]] | [[Category:8-tone]] | ||
Revision as of 17:34, 21 September 2018
This is the neutral scale of the Napoli temperament family.
Intervals
Phrygian Mode (aka Double) Neapolitan Temperament
| Degrees | Minimum | Mean | Median | Golden | Maximum |
|---|---|---|---|---|---|
| 1 | see 8edo | 157.5 | 163.636 | 164.127 | 165 |
| 2 | 315 | 327.273 | 328.254 | 330 | |
| 3 | 472.5 | 490.909 | 492.381 | 495 | |
| 4 | 630 | 654.5455 | 656.508 | 660 | |
| 5 | 787.5 | 818.181 | 820.6345 | 825 | |
| 6 | 945 | 981.818 | 984.7615 | 990 | |
| 7 | 1102.5 | 1145.4545 | 1148.888 | 1155 |
Phrygian-Aeolian Mode Neapolitan Temperament
| Degrees | Minimum | Golden | Mean | Median | Maximum |
|---|---|---|---|---|---|
| 1 | 165 | 166.941 | 168.214 | 170 | see 7edo |
| 2 | 330 | 333.883 | 336.429 | 340 | |
| 3 | 495 | 500.824 | 504.643 | 510 | |
| 4 | 660 | 667.765 | 672.857 | 680 | |
| 5 | 825 | 834.7065 | 841.071 | 850 | |
| 6 | 990 | 1000.648 | 1009.286 | 1020 | |
| 7 | 1155 | 1168.589 | 1177.5 | 1190 |
Aeolian Mode Neapolitan Temperament
| Degrees | Minimum | Golden | Median | ed(9/4) | Mean | Maximum |
|---|---|---|---|---|---|---|
| 1 | see 7edo | 174.053 | 175 | 175.489 | 175.714 | 180 |
| 2 | 348.107 | 350 | 350.9775 | 351.429 | 360 | |
| 3 | 522.161 | 525 | 526.466 | 527.143 | 540 | |
| 4 | 696.2145 | 700 | 701.955 | 702.857 | 720 | |
| 5 | 870.268 | 875 | 877.444 | 878.571 | 900 | |
| 6 | 1044.321 | 1050 | 1052.9325 | 1054.286 | 1080 | |
| 7 | 1218.375 | 1225 | 1228.421 | 1230 | 1260 |