Ploidacot/Heptaploid monocot
Heptaploid monocot is a temperament archetype where the generator is a 3/2 perfect fifth and the period is 1/7 of a 2/1 octave, or 171.429 ¢. The generator can also be characterized as a perfect fourth 4/3, or as a small comma of [math]\displaystyle{ \frac{3}{2\sqrt[7]{16}} }[/math]. Heptaploid monocot temperaments usually generate the 7L 7s, 7L 14s, and 7L 21s MOS scales.
Intervals and notation
While there is no agreed-upon notation system for heptaploid monocot, the following is based on interpreting the generator as a fifth, allowing for an ^ or v to stand for 1/7 of a chromatic semitone, so ^^^^C and vvvC# are enharmonic.
| # | Ploid 1 | Ploid 2 | Ploid 3 | Ploid 4 | Ploid 5 | Ploid 6 | Ploid 7 | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Cents | Notation | Cents | Notation | Cents | Notation | Cents | Notation | Cents | Notation | Cents | Notation | Cents | Notation | |
| −7 | 57.74 | vvDb | 229.17 | ^^^Ebb | 400.60 | ^Fb | 572.03 | vGb | 743.46 | vvvAb | 914.89 | ^^Bbb | 1086.31 | Cb |
| −6 | 73.98 | vDb | 245.41 | vvvEb | 416.84 | ^^Fb | 588.27 | Gb | 759.70 | vvAb | 931.13 | ^^^Bbb | 1102.56 | ^Cb |
| −5 | 90.22 | Db | 261.65 | vvEb | 433.08 | ^^^Fb | 604.51 | ^Gb | 775.94 | vAb | 947.37 | vvvBb | 1118.80 | ^^Cb |
| −4 | 106.47 | ^Db | 277.89 | vEb | 449.32 | vvvF | 620.75 | ^^Gb | 792.18 | Ab | 963.61 | vvBb | 1135.04 | ^^^Cb |
| −3 | 122.71 | ^^Db | 294.13 | Eb | 465.56 | vvF | 636.99 | ^^^Gb | 808.42 | ^Ab | 979.85 | vBb | 1151.28 | vvvC |
| −2 | 138.95 | ^^^Db | 310.38 | ^Eb | 481.80 | vF | 653.23 | vvvG | 824.66 | ^^Ab | 996.09 | Bb | 1167.52 | vvC |
| −1 | 155.19 | vvvD | 326.62 | ^^Eb | 498.04 | F | 669.47 | vvG | 840.90 | ^^^Ab | 1012.33 | ^Bb | 1183.76 | vC |
| 0 | 0.00 | C | 171.43 | vvD | 342.86 | ^^^Eb | 514.29 | ^F | 685.71 | vG | 857.14 | vvvA | 1028.57 | ^^Bb |
| 1 | 16.24 | ^C | 187.67 | vD | 359.10 | vvvE | 530.53 | ^^F | 701.96 | G | 873.38 | vvA | 1044.81 | ^^^Bb |
| 2 | 32.48 | ^^C | 203.91 | D | 375.34 | vvE | 546.77 | ^^^F | 718.20 | ^G | 889.62 | vA | 1061.05 | vvvB |
| 3 | 48.72 | ^^^C | 220.15 | ^D | 391.58 | vE | 563.01 | vvvF# | 734.44 | ^^G | 905.87 | A | 1077.29 | vvB |
| 4 | 64.96 | vvvC# | 236.39 | ^^D | 407.82 | E | 579.25 | vvF# | 750.68 | ^^^G | 922.11 | ^A | 1093.53 | vB |
| 5 | 81.20 | vvC# | 252.63 | ^^^D | 424.06 | ^E | 595.49 | vF# | 766.92 | vvvG# | 938.35 | ^^A | 1109.78 | B |
| 6 | 97.44 | vC# | 268.87 | vvvD# | 440.30 | ^^E | 611.73 | F# | 783.16 | vvG# | 954.59 | ^^^A | 1126.02 | ^B |
| 7 | 113.69 | C# | 285.11 | vvD# | 456.54 | ^^^E | 627.97 | ^F# | 799.40 | vG# | 970.83 | vvvA# | 1142.26 | ^^B |
Temperament interpretations
By definition, heptaploid monocot temperaments split the octave in seven.
Absurdity
Absurdity temperament sets ~800/729 as a period, and uses a fifth as a generator. In this temperament, 27/20 is equated to three periods.