User:FloraC/Sandbox: Difference between revisions

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|}

== Tunings ~~to be reviewed~~ ==

== Tunings ==

{| class="wikitable mw-collapsible mw-collapsed"

|+style=white-space:nowrap | 5-limit Prime-Optimized Tunings

|-

! ~~Weight-skew\Order !! Chebyshevian~~ !! Euclidean !~~! Manhattan~~

! rowspan="2" |

! rowspan="2" | Manhattan

! colspan="2" | Euclidean

! rowspan="2" | Chebyshevian

|-

~~| Tenney || CTC: ~3/2 = 696.5784¢ Eigenmonzo basis: 2.5 (1/4-comma tuning) || CTE: ~3/2 = 697.2143¢ || CTOP: ~3/2 = 698.0197¢~~

! Unskewed

! Skewed

|-

| ~~Tenney-Weil || CTWC~~: ~3/2 = ~~696~~.~~5784¢~~ ~~Eigenmonzo basis: 2.5~~ (1/4-comma ~~tuning~~) |~~| CWE~~: ~3/2 = 696.~~6512¢~~ |~~| CWOP~~: ~3/2 = 696.~~5784¢~~ ~~Eigenmonzo basis~~: 2.5 (1/4-comma ~~tuning~~)

! Equilateral

| CEOP: ~3/2 = 697.654¢ (1/5-comma)

| CEE: ~3/2 = 696.895¢ (4/17-comma)

| CSEE: ~3/2 = 696.453¢ (11/43-comma)

| CEC: ~3/2 = 696.578¢ (1/4-comma)

|-

| ~~Equilateral || CEC~~: ~3/2 = ~~696~~.~~5784¢ Eigenmonzo basis~~: 2.~~5 (1/4-comma tuning)~~ |~~| CEE~~: ~3/2 = 696.~~8947¢ Eigenmonzo basis: 2.1875 (4/17-comma tuning)~~ |~~| CEOP~~: ~3/2 = ~~697~~.~~6537¢~~ ~~Eigenmonzo basis: 2.15~~ (1/5-comma ~~tuning~~)

! Tenney

| CTOP: ~3/2 = 698.020¢

| CTE: ~3/2 = 697.214¢

| CWE: ~3/2 = 696.651¢

| CTC: ~3/2 = 696.578¢ (1/4-comma)

|-

~~| Skewed-equilateral || CSEC: ~3/2 = 696.5784¢~~ ~~Eigenmonzo basis: 2.5 (1/4-comma tuning)~~ |~~| CSEE~~: ~3/2 = ~~696~~.~~4534¢~~ ~~Eigenmonzo basis: 2.48828125/3~~ (~~11/43-comma tuning) || CSEOP: ~~~3/~~2 = 696.5784¢ Eigenmonzo basis: 2.5 (1/4~~-comma ~~tuning~~)

! Benedetti, Wilson

|-

| CBOP: ~3/2 = 698.160¢ (3/17-comma)

~~| Benedetti || CBC: ~3/2 = 696.5784¢ Eigenmonzo basis: 2.5 (1/4-comma tuning) |~~| CBE: ~3/2 = 697.~~3738¢~~ ~~Eigenmonzo basis: 2.{{monzo| 0 25 36 }}~~ (36/169-comma ~~tuning) || CBOP: ~3/2 = 698.1598¢ Eigenmonzo basis: 2.30375 (3/17-comma tuning~~)

| CBE: ~3/2 = 697.374¢ (36/169-comma)

|-

| CSBE: ~3/2 = 696.787¢ (31/129-comma)

~~| Skewed-Benedetti/Wilson || CSBC: ~3/2 = 696.5784¢ Eigenmonzo basis: 2.5 (1/4-comma tuning) |~~| CSBE: ~3/2 = 696.~~7868¢~~ ~~Eigenmonzo basis: 2.{{monzo| 0 5 31 }}~~ (31/129-comma ~~tuning~~) |~~| CSBOP~~: ~3/2 = 696.~~5784¢~~ ~~Eigenmonzo basis: 2.5~~ (1/4-comma ~~tuning~~)

| CBC: ~3/2 = 696.578¢ (1/4-comma)

|}

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|+style=white-space:nowrap | 7-limit Prime-Optimized Tunings

|-

! ~~Weight-skew\Order !! Chebyshevian !! Euclidean !! Manhattan~~

! rowspan="2" |

|-

! rowspan="2" | Manhattan

~~| Tenney || CTC: ~3/2~~ = ~~696.8826¢ Eigenmonzo basis:~~ 2.7 |~~| CTE: ~3/2~~ = ~~696.9521¢ || CTOP: ~3/~~2 ~~= 696.6458¢~~

! colspan="2" | Euclidean

|-

! rowspan="2" | Chebyshevian

~~| Tenney-Weil || CWC: ~3/2~~ = ~~696.8826¢ Eigenmonzo basis:~~ 2.7 |~~| CWE: ~3/2 = 696.6562¢ || CWOP: ~3/2 = 696.8826¢ Eigenmonzo basis: 2.7~~

|-

~~| Equilateral || CEC: ~3/2 = 696.8826¢ Eigenmonzo basis: 2.7 || CEE: ~3/2 = 696.8843¢ Eigenmonzo basis: 2.{{monzo| 0 1 4 10 }} || CEOP: ~3/2 = 697.3437¢ Eigenmonzo basis: 2.21~~

! Unskewed

! Skewed

|-

| ~~Skewed-equilateral || CSEC~~: ~3/2 = ~~696~~.~~8826¢ Eigenmonzo basis~~: 2.~~7 |~~| CSEE: ~3/2 = 696.~~7248¢ Eigenmonzo basis: 2.4117715/9~~ |~~| CSEOP~~: ~3/2 = 696.~~8826¢ Eigenmonzo basis: 2.7~~

! Equilateral

| CEOP: ~3/2 = 697.344¢

| CEE: ~3/2 = 696.884¢

| CSEE: ~3/2 = 696.725¢

| CEC: ~3/2 = 696.883¢

|-

| ~~Benedetti || CBC~~: ~3/2 = 696.~~8826¢ Eigenmonzo basis~~: 2.7 |~~| CBE~~: ~3/2 = ~~697~~.~~0147¢ Eigenmonzo basis: 2.{{monzo~~| ~~0 1225 1764 2250 }} || CBOP~~: ~3/2 = ~~697.8422¢ Eigenmonzo basis: 2~~.~~750141~~

! Tenney

| CTOP: ~3/2 = 696.646¢

| CTE: ~3/2 = 696.952¢

| CWE: ~3/2 = 696.656¢

| CTC: ~3/2 = 696.883¢

|-

~~| Skewed-~~Benedetti/Wilson |~~| CSBC~~: ~3/2 = ~~696~~.~~8826¢ Eigenmonzo basis~~: 2.~~7 |~~| CSBE: ~3/2 = 696.~~6306¢ Eigenmonzo basis: 2.{{monzo~~| ~~0 -3290 3171 7215 }} || CSBOP~~: ~3/2 = 696.~~8826¢ Eigenmonzo basis: 2.7~~

! Benedetti, Wilson

| CBOP: ~3/2 = 697.842¢

| CBE: ~3/2 = 697.015¢

| CSBE: ~3/2 = 696.631¢

| CBC: ~3/2 = 696.883¢

|}

@@ Line 152: / Line 152: @@
 |}
-== Tunings to be reviewed ==
+== Tunings ==
 {| class="wikitable mw-collapsible mw-collapsed"
 |+style=white-space:nowrap | 5-limit Prime-Optimized Tunings
 |-
-! Weight-skew\Order !! Chebyshevian !! Euclidean !! Manhattan
+! rowspan="2" |
+! rowspan="2" | Manhattan
+! colspan="2" | Euclidean
+! rowspan="2" | Chebyshevian
 |-
-| Tenney || CTC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CTE: ~3/2 = 697.2143¢ || CTOP: ~3/2 = 698.0197¢
+! Unskewed
+! Skewed
 |-
-| Tenney-Weil || CTWC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CWE: ~3/2 = 696.6512¢ || CWOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
+! Equilateral
+| CEOP: ~3/2 = 697.654¢<br>(1/5-comma)
+| CEE: ~3/2 = 696.895¢<br>(4/17-comma)
+| CSEE: ~3/2 = 696.453¢<br>(11/43-comma)
+| CEC: ~3/2 = 696.578¢<br>(1/4-comma)
 |-
-| Equilateral || CEC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CEE: ~3/2 = 696.8947¢<br>Eigenmonzo basis: 2.1875 (4/17-comma tuning) || CEOP: ~3/2 = 697.6537¢<br>Eigenmonzo basis: 2.15 (1/5-comma tuning)
+! Tenney
+| CTOP: ~3/2 = 698.020¢
+| CTE: ~3/2 = 697.214¢
+| CWE: ~3/2 = 696.651¢
+| CTC: ~3/2 = 696.578¢<br>(1/4-comma)
 |-
-| Skewed-equilateral || CSEC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CSEE: ~3/2 = 696.4534¢<br>Eigenmonzo basis: 2.48828125/3 (11/43-comma tuning) || CSEOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
+! Benedetti, <br>Wilson
-|-
+| CBOP: ~3/2 = 698.160¢<br>(3/17-comma)
-| Benedetti || CBC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CBE: ~3/2 = 697.3738¢<br>Eigenmonzo basis: 2.{{monzo| 0 25 36 }} (36/169-comma tuning) || CBOP: ~3/2 = 698.1598¢<br>Eigenmonzo basis: 2.30375 (3/17-comma tuning)
+| CBE: ~3/2 = 697.374¢<br>(36/169-comma)
-|-
+| CSBE: ~3/2 = 696.787¢<br>(31/129-comma)
-| Skewed-Benedetti/Wilson || CSBC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CSBE: ~3/2 = 696.7868¢<br>Eigenmonzo basis: 2.{{monzo| 0 5 31 }} (31/129-comma tuning) || CSBOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
+| CBC: ~3/2 = 696.578¢<br>(1/4-comma)
 |}
@@ Line 174: / Line 186: @@
 |+style=white-space:nowrap | 7-limit Prime-Optimized Tunings
 |-
-! Weight-skew\Order !! Chebyshevian !! Euclidean !! Manhattan
+! rowspan="2" |
-|-
+! rowspan="2" | Manhattan
-| Tenney || CTC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CTE: ~3/2 = 696.9521¢ || CTOP: ~3/2 = 696.6458¢
+! colspan="2" | Euclidean
-|-
+! rowspan="2" | Chebyshevian
-| Tenney-Weil || CWC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CWE: ~3/2 = 696.6562¢ || CWOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
 |-
-| Equilateral || CEC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CEE: ~3/2 = 696.8843¢<br>Eigenmonzo basis: 2.{{monzo| 0 1 4 10 }} || CEOP: ~3/2 = 697.3437¢<br>Eigenmonzo basis: 2.21
+! Unskewed
+! Skewed
 |-
-| Skewed-equilateral || CSEC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CSEE: ~3/2 = 696.7248¢<br>Eigenmonzo basis: 2.4117715/9 || CSEOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
+! Equilateral
+| CEOP: ~3/2 = 697.344¢
+| CEE: ~3/2 = 696.884¢
+| CSEE: ~3/2 = 696.725¢
+| CEC: ~3/2 = 696.883¢
 |-
-| Benedetti || CBC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CBE: ~3/2 = 697.0147¢<br>Eigenmonzo basis: 2.{{monzo| 0 1225 1764 2250 }} || CBOP: ~3/2 = 697.8422¢<br>Eigenmonzo basis: 2.750141
+! Tenney
+| CTOP: ~3/2 = 696.646¢
+| CTE: ~3/2 = 696.952¢
+| CWE: ~3/2 = 696.656¢
+| CTC: ~3/2 = 696.883¢
 |-
-| Skewed-Benedetti/Wilson || CSBC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CSBE: ~3/2 = 696.6306¢<br>Eigenmonzo basis: 2.{{monzo| 0 -3290 3171 7215 }} || CSBOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
+! Benedetti, <br>Wilson
+| CBOP: ~3/2 = 697.842¢
+| CBE: ~3/2 = 697.015¢
+| CSBE: ~3/2 = 696.631¢
+| CBC: ~3/2 = 696.883¢
 |}