|
|
| Line 270: |
Line 270: |
| Optimal GPV sequence: 37, 1789 | | Optimal GPV sequence: 37, 1789 |
| --> | | --> |
| == Estates general ==
| |
| Named so because it is defined as the 1789 & 3125 temperament due to 3125 providing optimal patent val for the jacobin comma, 3125 is 5 to the 5th power, and Estates General were called by Louis XVI on 5th May 1789 (05/05). Defined starting with the 2.5.11.13.19 subgroup, upwards to the 2.5.11.13.19.23.29.31 subgroup.
| |
|
| |
| Subgroup: 2.5.11.13.19
| |
|
| |
| Comma list: 6656/6655, 40960000000/40943078891, {{monzo| -133 50 -7 18 -6 }}
| |
|
| |
| Mapping: [{{val| 1 118 -107 -212 450 }}, {{val| 0 -266 254 496 -1025 }}]
| |
|
| |
| Optimal tuning (CTE): ~2588443885831192576/1914932769775390625 = 521.856
| |
|
| |
| === 2.5.11.13.19.23 subgroup ===
| |
| Subgroup: 2.5.11.13.19.23
| |
|
| |
| Comma list: 6656/6655, 62500/62491, 190676992/190653125, {{Monzo|-92 23 -2 14 -10 8}}
| |
|
| |
| Mapping: [{{val| 1 118 -107 -212 450 579}}, {{val| 0 -266 254 496 -1025 -1321}}]
| |
|
| |
| Optimal tuning (CTE): ~2592407900127232/1918105439453125 = 521.856
| |
|
| |
| === 2.5.11.13.19.23.29 subgroup ===
| |
| Subgroup: 2.5.11.13.19.23.29
| |
|
| |
| Comma list: 6656/6655, 62500/62491, 190676992/190653125, 7592198144/7591796875, 897740062375/897648164864
| |
|
| |
| Mapping: [{{val| 1 118 -107 -212 450 579 251}}, {{val| 0 -266 254 496 -1025 -1321 -566}}]
| |
|
| |
| Optimal tuning (CTE): ~184000/136097 = 521.856
| |
|
| |
| === 2.5.11.13.19.23.29.31 subgroup ===
| |
| Subgroup: 2.5.11.13.19.23.29.31
| |
|
| |
| Comma list: 6656/6655, 62500/62491, 9425/9424, 190676992/190653125, 507528125/507510784, 519411073024/519363934375
| |
|
| |
| Mapping: [{{val| 1 118 -107 -212 450 579 251 -179}}, {{val| 0 -266 254 496 -1025 -1321 -566 423}}]
| |
|
| |
| Optimal tuning (CTE): ~80275/59392 = 521.856
| |
| [[Category:Temperament collections]]
| |
| [[Category:Subgroup temperaments]]
| |
| [[Category:Rank 2]]
| |
|
| |
| {{Todo| cleanup | review }}
| |