User:Moremajorthanmajor/28wtn: Difference between revisions
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A '''28 tone well tempered nonet''' (28WTN) is related to well temperaments of | A '''28 tone well tempered nonet''' (28WTN) is related to well temperaments of [[24edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 14 equal parts (14EDF) with sequences of fourteen equal steps of 42.8571 to 57.1429 cents each. This will create fourteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth. It is also the largest wtn related to well temperaments of a unique edo. | ||
== | ==Patent Intervals== | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| | |||
!Target | !Target | ||
! | !Alternating [[edo]] and *ed(9/8) | ||
|- | |- | ||
|1 | |||
|50.1396 | |||
|50 | |||
|- | |- | ||
|2 | |||
|100.2793 | |||
|100 | |||
|- | |- | ||
|3 | |||
|150.4189 | |||
|150 | |||
|- | |- | ||
|4 | |||
|200.5586 | |||
|200 | |||
|- | |- | ||
|5 | |||
|250.6982 | |||
|250 | |||
|- | |- | ||
|6 | |||
|300.8379 | |||
|300 | |||
|- | |- | ||
|7 | |||
|350.9775 | |||
|350 | |||
|- | |- | ||
|8 | |||
|401.1171 | |||
|400 | |||
|- | |- | ||
|9 | |||
|451.2568 | |||
|450 | |||
|- | |- | ||
|10 | |||
|501.3964 | |||
|500 | |||
|- | |- | ||
|11 | |||
|551.536 | |||
|550 | |||
|- | |- | ||
|12 | |||
|601.6757 | |||
|600 | |||
|- | |- | ||
|13 | |||
|651.8154 | |||
|650 | |||
|- | |- | ||
|14 | |||
|701.955 | |||
|700 | |||
|- | |- | ||
|15 | |15 | ||
|751.7595 | |751.7595 | ||
|750 | |||
|- | |- | ||
|16 | |16 | ||
|801.564 | |801.564 | ||
|800 | |||
|- | |- | ||
|17 | |17 | ||
|851.3685 | |851.3685 | ||
|850 | |||
|- | |- | ||
|18 | |18 | ||
|901.173 | |901.173 | ||
|900 | |||
|- | |- | ||
|19 | |19 | ||
|950.9775 | |950.9775 | ||
|950 | |||
|- | |- | ||
|20 | |20 | ||
|1000.782 | |1000.782 | ||
|1000 | |||
|- | |- | ||
|21 | |21 | ||
|1050.6865 | |1050.6865 | ||
|1050 | |||
|- | |- | ||
|22 | |22 | ||
|1100.391 | |1100.391 | ||
|1100 | |||
|- | |- | ||
|23 | |23 | ||
|1150.1955 | |1150.1955 | ||
|1150 | |||
|- | |- | ||
|24 | |24 | ||
|1200 | |1200 | ||
|1200.000 | |||
|- | |- | ||
|25 | |25 | ||
|1249.8045 | |1249.8045 | ||
|1250.9775 | |||
|- | |- | ||
|26 | |26 | ||
|1299.609 | |1299.609 | ||
|1301.955 | |||
|- | |- | ||
|27 | |27 | ||
|1349.4135 | |1349.4135 | ||
|1352.9325 | |||
|- | |- | ||
|28 | |28 | ||
|1399.218 | |1399.218 | ||
|1403.91 | |||
|} | |} | ||