User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions
m Added normalised bases |
|||
| Line 86: | Line 86: | ||
TE Mistunings (cents) | TE Mistunings (cents) | ||
⟨0.511, 1.196, 6.223, -13.002 | ⟨0.511, 1.196, 6.223, -13.002] | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 132: | Line 112: | ||
=== Temperament data (normalised bases) === | === Temperament data (normalised bases) === | ||
{{ | |||
Equal Temperament Mappings | |||
{| class="wikitable" | |||
! | |||
!2 | |||
!3 | |||
!11 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|7 | |||
|11 | |||
|24 | |||
|45 | |||
|] | |||
|- | |||
|⟨ | |||
|17 | |||
|27 | |||
|59 | |||
|110 | |||
|] ⟩ | |||
|} | |||
Reduced Mapping | |||
{| class="wikitable" | |||
! | |||
!2 | |||
!3 | |||
!11 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|1 | |||
|1 | |||
|2 | |||
|5 | |||
|] | |||
|- | |||
|⟨ | |||
|0 | |||
|2 | |||
|5 | |||
|5 | |||
|] ⟩ | |||
|} | |||
TE Generator Tunings (cents) | |||
⟨1200.9365, 350.5869] | |||
TE Step Tunings (cents) | |||
⟨44.70571, 52.23509] | |||
TE Tuning Map (cents) | |||
⟨1200.936, 1902.110, 4154.807, 7757.617] | |||
TE Mistunings (cents) | |||
⟨0.936, 0.155, 3.489, -13.263] | |||
{| class="wikitable" | |||
|Complexity | |||
|0.558811 | |||
|- | |||
|Adjusted Error | |||
|7.996249 cents | |||
|- | |||
|TE Error | |||
|1.234802 cents/octave | |||
|} | |||
Unison Vectors | |||
* [-3, 0, -1, 1⟩ (89:88) | |||
* [-1, 5, -2, 0⟩ (243:242) | |||
* [-2, -5, 1, 1⟩ (979:972) | |||
* [-5, -5, 0, 2⟩ (7921:7776) | |||
=== Example MOS scale: Floor[17] === | === Example MOS scale: Floor[17] === | ||
| Line 242: | Line 310: | ||
⟨0.899, -7.060, 6.009, -1.999] | ⟨0.899, -7.060, 6.009, -1.999] | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 287: | Line 335: | ||
=== Temperament data (normalised bases) === | === Temperament data (normalised bases) === | ||
{{ | |||
Equal Temperament Mappings | |||
{| class="wikitable" | |||
! | |||
!2 | |||
!5 | |||
!11 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|6 | |||
|14 | |||
|21 | |||
|39 | |||
|] | |||
|- | |||
|⟨ | |||
|7 | |||
|16 | |||
|24 | |||
|45 | |||
|] ⟩ | |||
|} | |||
Reduced Mapping | |||
{| class="wikitable" | |||
! | |||
!2 | |||
!5 | |||
!11 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|1 | |||
|2 | |||
|3 | |||
|6 | |||
|] | |||
|- | |||
|⟨ | |||
|0 | |||
|2 | |||
|3 | |||
|3 | |||
|] ⟩ | |||
|} | |||
TE Generator Tunings (cents) | |||
⟨1200.2939, 188.3359] | |||
TE Step Tunings (cents) | |||
⟨118.05701, 70.27884] | |||
TE Tuning Map (cents) | |||
⟨1200.294, 2777.260, 4165.889, 7766.771] | |||
TE Mistunings (cents) | |||
⟨0.294, -9.054, 14.571, -4.109] | |||
{| class="wikitable" | |||
|Complexity | |||
|0.356125 | |||
|- | |||
|Adjusted Error | |||
|18.722607 cents | |||
|- | |||
|TE Error | |||
|2.891195 cents/octave | |||
|} | |||
Unison Vectors | |||
* [-3, 0, -1, 1⟩ (89:88) | |||
* [0, 3, -2, 0⟩ (125:121) | |||
* [3, 3, -1, -1⟩ (1000:979) | |||
* [6, 3, 0, -2⟩ (8000:7921) | |||
=== Example MOS scale: Teefs[32] === | === Example MOS scale: Teefs[32] === | ||
| Line 410: | Line 546: | ||
⟨0.853, -1.050, -5.200, 2.022] | ⟨0.853, -1.050, -5.200, 2.022] | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 455: | Line 571: | ||
=== Temperament data (normalised bases) === | === Temperament data (normalised bases) === | ||
{{ | Equal Temperament Mappings | ||
{| class="wikitable" | |||
! | |||
!2 | |||
!3 | |||
!31 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|17 | |||
|27 | |||
|84 | |||
|110 | |||
|] | |||
|- | |||
|⟨ | |||
|19 | |||
|30 | |||
|94 | |||
|123 | |||
|] ⟩ | |||
|} | |||
Reduced Mapping | |||
{| class="wikitable" | |||
! | |||
!2 | |||
!3 | |||
!31 | |||
!89 | |||
! | |||
|- | |||
|[ ⟨ | |||
|1 | |||
|3 | |||
|4 | |||
|6 | |||
|] | |||
|- | |||
|⟨ | |||
|0 | |||
| -3 | |||
|2 | |||
|1 | |||
|] ⟩ | |||
|} | |||
TE Generator Tunings (cents) | |||
⟨1201.0755, 567.2153] | |||
TE Step Tunings (cents) | |||
⟨32.58899, 34.05593] | |||
TE Tuning Map (cents) | |||
⟨1201.075, 1901.581, 5938.732, 7773.668] | |||
TE Mistunings (cents) | |||
⟨1.075, -0.374, -6.303, 2.788] | |||
{| class="wikitable" | |||
|Complexity | |||
|0.910794 | |||
|- | |||
|Adjusted Error | |||
|5.623550 cents | |||
|- | |||
|TE Error | |||
|0.868404 cents/octave | |||
|} | |||
Unison Vectors | |||
* [-5, 1, 2, -1⟩ (2883:2848) | |||
* [8, 0, 1, -2⟩ (7936:7921) | |||
* [-13, 1, 1, 1⟩ (8277:8192) | |||
* [-18, 2, 3, 0⟩ (268119:262144) | |||
=== Example MOS scale: Lylla[19] === | === Example MOS scale: Lylla[19] === | ||