Xenharmonic Wiki

BPS: Difference between revisions

← Older editNewer edit →

Lériendil (talk | contribs)

8,046 edits
VisualWikitext
Lériendil (talk | contribs)
8,046 edits
Lériendil (talk | contribs)
8,046 edits
Line 31: Line 31:
<div><div style="display: inline-grid; margin-right: 25px;">
<div><div style="display: inline-grid; margin-right: 25px;">
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|+ style="font-size: 105%;" | Basic 3.5.7 temperament
|+ style="font-size: 105%;" | Basic BPS (extension-agnostic)
|-
|-
! &#35; !! Cents&#42; !! Approximate Ratios
! rowspan="2" | &#35; !! rowspan="2" | Cents&#42; !! colspan="2" | Approximate Ratios
|-
|-
| -4 || 139.7 || 27/25, 49/45
! 3.5.7 subgroup !! Add-19 extension
| -
| -4 || 139.7 || 27/25, 49/45 || 21/19, 133/125
|-
|-
| -3 || 580.3 || 7/5, 243/175
| -3 || 580.3 || 7/5, 243/175 || 27/19, 171/125
|-
|-
| -2 || 1020.8 || 9/5, '''49/27'''
| -2 || 1020.8 || 9/5, '''49/27''' || 35/19, 133/75, 243/133
|-
|-
| -1 || 1461.4 || '''7/3''', 81/35
| -1 || 1461.4 || '''7/3''', 81/35 || 45/19, 57/25
|-
|-
| 0 || 0.0 || '''1/1'''
| 0 || 0.0 || '''1/1''', 245/243 || 135/133, 175/171, 375/361
|-
|-
| 1 || 440.6 || 9/7, '''35/27'''
| 1 || 440.6 || 9/7, '''35/27''' || 19/15, 25/19
|-
|-
| 2 || 881.1 || '''5/3''', 81/49
| 2 || 881.1 || '''5/3''', 81/49 || 57/35, '''133/81''', 225/133
|-
|-
| 3 || 1321.7 || 15/7, '''175/81'''
| 3 || 1321.7 || 15/7, '''175/81''' || '''19/9''', 125/57
|-
|-
| 4 || 1762.2 || '''25/9''', 135/49
| 4 || 1762.2 || '''25/9''', 135/49 || 19/7, 375/133
|-
|-
| 5 || 300.8 || 25/21, 405/343
| 5 || 300.8 || 25/21, 405/343 || 57/49, '''95/81'''
|-
|-
| 6 || 741.4 || 75/49, '''125/81'''
| 6 || 741.4 || 75/49, '''125/81''' || 95/63, 361/243
|-
|-
| 7 || 1181.9 || 125/63, 675/343
| 7 || 1181.9 || 125/63, 675/343 || 95/49, 361/189
|-
|-
| 8 || 1622.5 || 125/49, 625/243
| 8 || 1622.5 || 125/49, 625/243 || 361/147, 475/189
|-
|-
| 9 || 161.1 || 375/343, 625/567
| 9 || 161.1 || 375/343, 625/567 || 361/343
{{table notes|cols=3
{{table notes|cols=3
| In 3.5.7-targeted [[DKW theory|DKW]] tuning
| In 3.5.7-targeted [[DKW theory|DKW]] tuning
}}
|}
</div>
<div style="display: inline-grid; margin-right: 25px;">
{| class="wikitable center-1 right-2 right-4"
|+ style="font-size: 105%;" | 3.5.7.13.19 extension
|-
! &#35; !! Cents&#42; !! Approximate Ratios
|-
| -4 || 131.4 || 27/25, 49/45, 125/117
|-
| -3 || 574.0 || 7/5, 243/175, 125/91
|-
| -2 || 1016.7 || 9/5, '''49/27'''
|-
| -1 || 1459.3 || '''7/3''', 81/35
|-
| 0 || 0.0 || '''1/1'''
|-
| 1 || 442.6 || 9/7, '''35/27'''
|-
| 2 || 885.3 || '''5/3''', 81/49
|-
| 3 || 1327.9 || 15/7, '''175/81''', 273/125
|-
| 4 || 1770.5 || '''25/9''', 135/49, 351/125
|-
| 5 || 311.2 || 91/75, 25/21, 343/285, 405/343
|-
| 6 || 753.8 || 39/25, 75/49, 147/95, '''125/81'''
|-
| 7 || 1196.4 || 91/45, 189/95, 125/63
|-
| 8 || 1639.1 || 13/5, 637/243, 243/95, 125/49
|-
| 9 || 179.7 || 39/35, '''91/81''', 21/19, 375/343
|-
| 10 || 622.4 || '''13/9''', 27/19, 625/441
|-
| 11 || 1065.0 || 13/7, 455/243, 243/133, 35/19
|-
| 12 || 1507.6 || '''65/27''', 117/49, 45/19
|-
| 13 || 48.3 || 65/63, 135/133, 175/171
{{table notes|cols=3
| In 3.5.7.13.19-subgroup [[CWE]] tuning
}}
}}
|}
|}
Retrieved from "https://en.xen.wiki/w/BPS"