Ploidacot/Delta-hexacot
| Pergen | [P8, P11/6] |
| Numeral form | 4-sheared 6-cot |
| Pure generator size | 283.01 ¢ |
| Pure period size | 1200 ¢ |
| Forms | 13, 17, 21, 38 |
| Characteristic multival entry | 6 |
Delta-hexacot is a temperament archetype where the generator is a minor third of about 282–284 ¢, six of which make a perfect eleventh of 8/3, and the period is a 2/1 octave. Delta-hexacot temperaments also include all dicot and alpha-tricot intervals. Delta-hexacot temperaments typically generate the 4L 5s, 4L 9s, and 4L 13s MOS scales.
Intervals and notation
Due to dividing the eleventh into so many steps, standard notation becomes almost useless for delta-hexacot. Regardless, notation has been provided for where delta-hexacot intervals align with standard dicot intervals (which use neutral chain-of-fifths notation).
| # | Cents | Notation | Name |
|---|---|---|---|
| −24 | 407.820 | E | major third |
| −23 | 690.828 | ||
| −22 | 973.835 | ||
| −21 | 56.843 | Ct | semiaugmented unison |
| −20 | 339.850 | ||
| −19 | 622.858 | ||
| −18 | 905.865 | A | major sixth |
| −17 | 1188.873 | ||
| −16 | 271.880 | ||
| −15 | 554.888 | Ft | semiaugmented fourth |
| −14 | 837.895 | ||
| −13 | 1120.903 | ||
| −12 | 203.910 | D | major second |
| −11 | 486.918 | ||
| −10 | 769.925 | ||
| −9 | 1052.933 | Bd | neutral seventh |
| −8 | 135.940 | ||
| −7 | 418.948 | ||
| −6 | 701.955 | G | perfect fifth |
| −5 | 984.963 | ||
| −4 | 67.970 | ||
| −3 | 350.978 | Ed | neutral third |
| −2 | 633.985 | ||
| −1 | 916.993 | ||
| 0 | 0.000 | C | perfect unison |
| 1 | 283.007 | ||
| 2 | 566.015 | ||
| 3 | 849.022 | Ad | neutral sixth |
| 4 | 1132.030 | ||
| 5 | 215.037 | ||
| 6 | 498.045 | F | perfect fourth |
| 7 | 781.052 | ||
| 8 | 1064.060 | ||
| 9 | 147.067 | Dd | neutral second |
| 10 | 430.075 | ||
| 11 | 713.082 | ||
| 12 | 996.090 | Bb | minor seventh |
| 13 | 79.097 | ||
| 14 | 362.105 | ||
| 15 | 645.112 | Gd | semidiminished fifth |
| 16 | 928.120 | ||
| 17 | 11.127 | ||
| 18 | 294.135 | Eb | minor third |
| 19 | 577.142 | ||
| 20 | 860.150 | ||
| 21 | 1143.157 | Cd | semidiminished octave |
| 22 | 226.165 | ||
| 23 | 509.172 | ||
| 24 | 792.180 | Ab | minor sixth |
Temperament interpretations
An obvious interpretation for delta-hexacot is neominor, where the generator is 13/11~20/17, two of which make 18/13, three make 18/11 above an octave, six make a perfect eleventh, seven make 11/7 above an octave, eight make 13/7 above an octave, ten make 9/7 above two octaves, and nineteen make 7/5 above four octaves.