Xenharmonic Wiki

1553edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
→Theory: rework
→Regular temperament properties: rework as a dual-fifth temp
Line 12: Line 12:
==Regular temperament properties==
==Regular temperament properties==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
! colspan="2" | Tuning Error
|-
|-
![[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
! [[TE simple badness|Relative]] (%)
|-
|-
|2.3
| 2.9
|{{monzo|-2461 1553}}
| {{monzo| 4923 -1553 }}
|{{val|1553 2461}}
| {{val| 1553 4923 }}
| 0.1089
| -0.0130
| 0.1089
| 0.0130
| 14.09
| 1.68
|-
|-
|2.3.5
| 2.9.5
|1224440064/1220703125, {{monzo|-201 99 19}}
| {{monzo| 93 -33 5 }}, {{monzo| -36 -26 51 }}
|{{val|1553 2461 3606}}
| {{val| 1553 4923 3606 }}
| 0.0675
| -0.0137
| 0.1064
| 0.0106
| 13.77
| 1.38
|-
|-
|2.3.5.7
| 2.9.5.7
|200120949/200000000, 2579890176/2573571875, 23066015625/23018340352
| {{monzo| -5 5 5 -8 }}, {{monzo| 2 -10 14 -1 }}, {{monzo| 37 1 -4 -11 }}
|{{val|1553 2461 3606 4360}}
| {{val| 1553 4923 3606 4360 }}
| 0.0384
| -0.0225
| 0.1051
| 0.0178
| 13.60
| 2.31
|-
|-
|2.3.5.7.11
| 2.9.5.7.13
|24057/24010, 759375/758912, 2359296/2358125, 992436543/991232000
| 4096/4095, 140625/140608, 28829034/28824005, {{monzo| 4 10 -9 0 -4 }}
|{{val|1553 2461 3606 4360 5372}}
| {{val| 1553 4923 3606 4360 5372 }}
| 0.0529
| -0.0271
| 0.0984
| 0.0184
| 12.73
| 2.38
|-
|2.3.5.7.11.13
|729/728, 1716/1715, 40656/40625, 196625/196608, 14085981/14080000
|{{val|1553 2461 3606 4360 5372 5747}}
| 0.0366
| 0.0970
| 12.55
|-
|2.3.5.7.11.13.17
|729/728, 1716/1715, 1089/1088, 14400/14399, 27648/27625, 14085981/14080000
|{{val|1553 2461 3606 4360 5372 5747 6348}}
| 0.0267
| 0.0930
| 12.04
|-
|2.3.5.7.11.13.17.19
|729/728, 1716/1715, 1089/1088, 5985/5984, 4200/4199, 21888/21875, 287469/287375
|{{val|1553 2461 3606 4360 5372 5747 6348 6597}}
| 0.0241
| 0.0872
| 11.29
|}
|}
Retrieved from "https://en.xen.wiki/w/1553edo"