365edo/Eliora's approach: Difference between revisions
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This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val. | This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val. | ||
Mapping: | |||
Mapping: | |||
{| class="wikitable" | {| class="wikitable" | ||
! | ! | ||
| Line 39: | Line 38: | ||
|193 | |193 | ||
|} | |} | ||
== Theory == | |||
365eeffgghiii val shares rank two temperaments with the following vals: {{EDOs|121i, 99ef, 68e, 27egi, 41i, 46p, 58hi, 87, 50, 94}}. | |||
==Table of intervals== | |||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| Line 51: | Line 56: | ||
|Prime, unison | |Prime, unison | ||
|1/1 | |1/1 | ||
|- | |||
|32 | |||
|February 1 | |||
|Dodecaphonic semitone | |||
| | |||
|- | |- | ||
|33 | |33 | ||
| Line 56: | Line 66: | ||
|Septendecimal semitone | |Septendecimal semitone | ||
|17/16 | |17/16 | ||
|- | |||
|59 | |||
|February 28 | |||
| | |||
| | |||
|- | |||
|''59 II'' | |||
|''February 29'' | |||
|''inserted once every 4 octaves'' | |||
|''accumulating octave stretch'' | |||
|- | |||
|60 | |||
|March 1 | |||
|Dodecaphonic major second | |||
| | |||
|- | |||
|63 | |||
|March 4 | |||
|Classical major second, meantone | |||
|9/8 | |||
|- | |- | ||
|91 | |91 | ||
|April 1 | |April 1 | ||
|Undevicesimal minor third | |Undevicesimal minor third, dodecaphonic minor third | ||
| | |19/16 | ||
|- | |- | ||
|118 | |118 | ||
| | |April 28 | ||
| | |Classical major third | ||
| | |5/4 | ||
|- | |- | ||
|169 | |169 | ||
| | |June 18 | ||
| | |Undecimal superfourth | ||
|11/8 | |||
|- | |||
|182 | |||
|July 1 | |||
|Dodecaphonic tritone | |||
| | | | ||
|- | |- | ||
|193 | |193 | ||
| | |July 12 | ||
| | |Vicesimotertial lalala | ||
| | |23/16 | ||
|- | |- | ||
|214 | |214 | ||
| | |August 2 | ||
| | |Perfect fifth | ||
| | |3/2 | ||
|- | |- | ||
|257 | |257 | ||
| | |September 14 | ||
| | |Tridecimal neutral sixth | ||
| | |13/8 | ||
|- | |- | ||
|295 | |295 | ||
| | |October 22 | ||
| | |Harmonic seventh | ||
| | |7/4 | ||
|- | |- | ||
|365 | |365 | ||
Revision as of 11:26, 3 April 2022
365 is the number of days in the common year, and as such this proposes some interesting intereprations.
This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val.
Mapping:
| 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|
| Map | 365 | 579 | 848 | 1025 | 1264 | 1352 | 1493 | 1551 | 1653 |
| Reduced | 365 | 214 | 118 | 295 | 169 | 257 | 33 | 91 | 193 |
Theory
365eeffgghiii val shares rank two temperaments with the following vals: 121i, 99ef, 68e, 27egi, 41i, 46p, 58hi, 87, 50, 94.
Table of intervals
| Step | Note name | Interval name | Associated Ratio
based on 365eeffgghiii |
|---|---|---|---|
| 0 | January 1 | Prime, unison | 1/1 |
| 32 | February 1 | Dodecaphonic semitone | |
| 33 | February 2 | Septendecimal semitone | 17/16 |
| 59 | February 28 | ||
| 59 II | February 29 | inserted once every 4 octaves | accumulating octave stretch |
| 60 | March 1 | Dodecaphonic major second | |
| 63 | March 4 | Classical major second, meantone | 9/8 |
| 91 | April 1 | Undevicesimal minor third, dodecaphonic minor third | 19/16 |
| 118 | April 28 | Classical major third | 5/4 |
| 169 | June 18 | Undecimal superfourth | 11/8 |
| 182 | July 1 | Dodecaphonic tritone | |
| 193 | July 12 | Vicesimotertial lalala | 23/16 |
| 214 | August 2 | Perfect fifth | 3/2 |
| 257 | September 14 | Tridecimal neutral sixth | 13/8 |
| 295 | October 22 | Harmonic seventh | 7/4 |
| 365 | January 1 | Octave | 2/1 |