Mint temperaments: Difference between revisions

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Line 6:

* [[Dominant (temperament)|Dominant]] (+64/63) → [[Meantone family #Dominant|Meantone family]]

* ''[[Armodue (temperament)|Armodue]]'' (+135/128) → [[Mavila family #Armodue|Mavila family]]

* ''[[~~Dicot~~]]'' (+25/24) → [[Dicot family|Dicot family]]

* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic|Dicot family]]

* [[Beep]] (+21/20) → [[Bug family #Beep|Bug family]]

* ''[[August]]'' (+128/125) → [[Augmented family #August|Augmented family]]

Line 14:

* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate|Smate family]]

* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone|Magic family]]

* ''[[~~Ripple~~]]'' (+2560/2401) → [[Ripple family #~~Septimal ripple~~|Ripple family]]

* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip|Ripple family]]

* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]]

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* [[CWE]]: ~2 = 1200.0000{{c}}, ~7/6 = 231.845{{c}}

: error map: {{val| 0.000 +6.291 +85.850 -24.498 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 236.0819{{c}}~~

~~: [[error map]]: {{val| 0.000 -6.421 +77.376 -41.447 }}~~

* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 239.977{{c}}

~~: error map: {{val| 0.000 +17.976 +93.640 -8.918 }} -->~~

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: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lafayette]].''

~~Progression, named~~ by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref> can be described as the 8d & 9 temperament, and [[17edo]] is an obvious tuning for it.

Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref>, progression can be described as the {{nowrap| 8d & 9 }} temperament. It has a generator that is a somewhat flat neutral second, three make [[5/4]], five make [[3/2]], and seven make [[7/4]], with a [[ploidacot]] signature of pentacot. [[17edo]] is an obvious tuning for it.

[[Subgroup]]: 2.3.5.7

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* [[CWE]]: ~2 = 1200.000{{c}}, ~15/14 = 139.8991{{c}}

: error map: {{val| 0.000 -2.460 +33.384 +10.468 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 138.611{{c}}~~

~~: [[error map]]: {{val| 0.000 -8.900 +29.519 +1.451 }}~~

* [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 140.927{{c}}

~~: error map: {{val| 0.000 +2.680 +36.467 +17.663 }} -->~~

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* WE: ~2 = 1194.7089{{c}}, ~12/11 = 140.1262{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~12/11 = 139.8776{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~12/11 = 138.556{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~12/11 = 140.747{{c}} -->

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* WE: ~2 = 1195.3694{{c}}, ~13/12 = 140.2080{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~13/12 = 139.9749{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.741{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.751{{c}} -->

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* WE: ~2 = 1193.8350{{c}}, ~13/12 = 140.6779{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.5885{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.649{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~13/12 = 141.404{{c}} -->

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* WE: ~2 = 1196.1446{{c}}, ~13/12 = 140.0276{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.0301{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.750{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.479{{c}} -->

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== Subklei ==

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Delorean]].''

Subklei is likely named for its flatter minor third generator than [[kleismic]]. It tempers out [[1029/1000]] as well as [[2401/2400]] and can be described as {{nowrap| 17c & 21 }}. Its [[ploidacot]] is delta-hexacot. Note that in the data below, the generator is the [[5/3]][[~]][[12/7]] major sixth, so that six generators minus four octaves give the [[3/2|perfect fifth]].

[[Subgroup]]: 2.3.5.7

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* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 915.4228{{c}}

: error map: {{val| 0.000 -9.418 +21.646 +8.288 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.014{{c}}~~

~~: [[error map]]: {{val| 0.000 -11.870 +18.785 +6.245 }}~~

* [[POTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.781{{c}}

~~: error map: {{val| 0.000 -7.268 +24.154 +10.080 }} -->~~

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* WE: ~2 = 1196.3345{{c}}, ~5/3 = 913.9469{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.2970{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.735{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.747{{c}} -->

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* WE: ~2 = 1196.0784{{c}}, ~5/3 = 914.1466{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.6712{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 916.082{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~5/3 = 917.144{{c}} -->

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* WE: ~2 = 1196.3809{{c}}, ~5/3 = 913.4153{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.8804{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.130{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.178{{c}} -->

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* WE: ~2 = 1196.5477{{c}}, ~5/3 = 913.4822{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.9416{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~7/6 = 284.758{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~7/6 = 283.882{{c}} -->

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== Naian ==

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''

Named by [[Xenllium]] in 2026, naian may be described as {{nowrap| 8d & 21 }} with a [[ploidacot]] signature of epsilon-enneacot.

[[Subgroup]]: 2.3.5.7

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* [[CWE]]: ~2 = 1200.0000{{c}}, ~75/49 = 743.9885{{c}}

: error map: {{val| 0.000 -6.059 +21.606 +15.047 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~75/49 = 743.506{{c}}~~

~~: [[error map]]: {{val| 0.000, -10.401, +18.228, +9.740 }} -->~~

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* WE: ~2 = 1194.3937{{c}}, ~75/49 = 741.2117{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~75/49 = 744.2018{{c}}

~~~~

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* WE: ~2 = 1193.8564{{c}}, ~20/13 = 740.9635{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2703{{c}}

~~~~

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* WE: ~2 = 1194.2330{{c}}, ~20/13 = 741.1242{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2679{{c}}

~~~~

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== Slurpee ==

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Slurpee]].''

Slurpee may be described as the {{nowrap| 16 & 17c }} temperament. It has a generator that is a somewhat flat semitone of [[~]][[21/20]], three make [[8/7]], seven make [[4/3]], and eleven make [[8/5]], with a [[ploidacot]] signature of omega-heptacot.

[[Subgroup]]: 2.3.5.7

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* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/20 = 72.4941{{c}}

: error map: {{val| 0.000 -9.414 +16.251 +13.692 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.776{{c}}~~

~~: [[error map]]: {{val| 0.000 -11.385 +13.153 +12.847 }}~~

* [[POTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.303{{c}}

~~: error map: {{val| 0.000 -8.075 +18.355 +14.265 }} -->~~

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* WE: ~2 = 1198.4220{{c}}, ~21/20 = 72.2015{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4470{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.681{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.297{{c}} -->

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* WE: ~2 = 1199.0238{{c}}, ~21/20 = 72.3506{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4956{{c}}

~~<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.653{{c}}~~

* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.409{{c}} -->

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== Shallowtone ==

: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''

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* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 681.2447{{c}}

: error map: {{val| 0.000 -20.710 +1.239 +6.110 }}

~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 681.278{{c}}~~

~~: [[error map]]: {{val| 0.000 -20.677 +0.906 +6.510 }} -->~~

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* WE: ~2 = 1202.0285{{c}}, ~3/2 = 682.4922{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.3267{{c}}

~~~~

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* WE: ~2 = 1201.4928{{c}}, ~3/2 = 682.1188{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.2669{{c}}

~~~~

@@ Line 6: / Line 6: @@
 * [[Dominant (temperament)|Dominant]] (+64/63) → [[Meantone family #Dominant|Meantone family]]
 * ''[[Armodue (temperament)|Armodue]]'' (+135/128) → [[Mavila family #Armodue|Mavila family]]
-* ''[[Dicot]]'' (+25/24) → [[Dicot family|Dicot family]]
+* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic|Dicot family]]
 * [[Beep]] (+21/20) → [[Bug family #Beep|Bug family]]
 * ''[[August]]'' (+128/125) → [[Augmented family #August|Augmented family]]
@@ Line 14: / Line 14: @@
 * ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate|Smate family]]
 * ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone|Magic family]]
-* ''[[Ripple]]'' (+2560/2401) → [[Ripple family #Septimal ripple|Ripple family]]
+* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip|Ripple family]]
 * ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]]
@@ Line 32: / Line 32: @@
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~7/6 = 231.845{{c}}
 : error map: {{val| 0.000 +6.291 +85.850 -24.498 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 236.0819{{c}}
-: [[error map]]: {{val| 0.000 -6.421 +77.376 -41.447 }}
-* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 239.977{{c}}
-: error map: {{val| 0.000 +17.976 +93.640 -8.918 }} -->
 {{Optimal ET sequence|legend=1| 1bd, …, 4bcd, 5 }}
@@ Line 45: / Line 41: @@
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lafayette]].''
-Progression, named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref> can be described as the 8d & 9 temperament, and [[17edo]] is an obvious tuning for it.
+Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref>, progression can be described as the {{nowrap| 8d & 9 }} temperament. It has a generator that is a somewhat flat neutral second, three make [[5/4]], five make [[3/2]], and seven make [[7/4]], with a [[ploidacot]] signature of pentacot. [[17edo]] is an obvious tuning for it.
 [[Subgroup]]: 2.3.5.7
@@ Line 59: / Line 55: @@
 * [[CWE]]: ~2 = 1200.000{{c}}, ~15/14 = 139.8991{{c}}
 : error map: {{val| 0.000 -2.460 +33.384 +10.468 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~15/14 = 138.611{{c}}
-: [[error map]]: {{val| 0.000 -8.900 +29.519 +1.451 }}
-* [[POTE]]: ~2 = 1200.000{{c}}, ~15/14 = 140.927{{c}}
-: error map: {{val| 0.000 +2.680 +36.467 +17.663 }} -->
 {{Optimal ET sequence|legend=1| 8d, 9, 17c }}
@@ Line 78: / Line 70: @@
 * WE: ~2 = 1194.7089{{c}}, ~12/11 = 140.1262{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~12/11 = 139.8776{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~12/11 = 138.556{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~12/11 = 140.747{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 9, 17c }}
@@ Line 95: / Line 85: @@
 * WE: ~2 = 1195.3694{{c}}, ~13/12 = 140.2080{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 139.9749{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.741{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.751{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 9, 17c }}
@@ Line 112: / Line 100: @@
 * WE: ~2 = 1193.8350{{c}}, ~13/12 = 140.6779{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.5885{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.649{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~13/12 = 141.404{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 9, 17cg }}
@@ Line 129: / Line 115: @@
 * WE: ~2 = 1196.1446{{c}}, ~13/12 = 140.0276{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~13/12 = 140.0301{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.750{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~13/12 = 140.479{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 9, 17cg }}
@@ Line 138: / Line 122: @@
 == Subklei ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Delorean]].''
+Subklei is likely named for its flatter minor third generator than [[kleismic]]. It tempers out [[1029/1000]] as well as [[2401/2400]] and can be described as {{nowrap| 17c & 21 }}. Its [[ploidacot]] is delta-hexacot. Note that in the data below, the generator is the [[5/3]][[~]][[12/7]] major sixth, so that six generators minus four octaves give the [[3/2|perfect fifth]].
 [[Subgroup]]: 2.3.5.7
@@ Line 151: / Line 137: @@
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 915.4228{{c}}
 : error map: {{val| 0.000 -9.418 +21.646 +8.288 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.014{{c}}
-: [[error map]]: {{val| 0.000 -11.870 +18.785 +6.245 }}
-* [[POTE]]: ~2 = 1200.000{{c}}, ~5/3 = 915.781{{c}}
-: error map: {{val| 0.000 -7.268 +24.154 +10.080 }} -->
 {{Optimal ET sequence|legend=1| 4, 13cd, 17c, 21, 38c }}
@@ Line 170: / Line 152: @@
 * WE: ~2 = 1196.3345{{c}}, ~5/3 = 913.9469{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.2970{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.735{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.747{{c}} -->
 {{Optimal ET sequence|legend=0| 4e, …, 13cdee, 17c }}
@@ Line 187: / Line 167: @@
 * WE: ~2 = 1196.0784{{c}}, ~5/3 = 914.1466{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 916.6712{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 916.082{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~5/3 = 917.144{{c}} -->
 {{Optimal ET sequence|legend=0| 4ef, …, 13cdeef, 17c }}
@@ Line 204: / Line 182: @@
 * WE: ~2 = 1196.3809{{c}}, ~5/3 = 913.4153{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.8804{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~5/3 = 915.130{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~5/3 = 916.178{{c}} -->
 {{Optimal ET sequence|legend=0| 4, 13cd, 17c, 38ce }}
@@ Line 221: / Line 197: @@
 * WE: ~2 = 1196.5477{{c}}, ~5/3 = 913.4822{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~5/3 = 915.9416{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~7/6 = 284.758{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~7/6 = 283.882{{c}} -->
 {{Optimal ET sequence|legend=0| 4, 17c, 38ce }}
@@ Line 230: / Line 204: @@
 == Naian ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''
+Named by [[Xenllium]] in 2026, naian may be described as {{nowrap| 8d & 21 }} with a [[ploidacot]] signature of epsilon-enneacot.
 [[Subgroup]]: 2.3.5.7
@@ Line 243: / Line 219: @@
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~75/49 = 743.9885{{c}}
 : error map: {{val| 0.000 -6.059 +21.606 +15.047 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~75/49 = 743.506{{c}}
-: [[error map]]: {{val| 0.000, -10.401, +18.228, +9.740 }} -->
 {{Optimal ET sequence|legend=1| 8d, 21, 29cd }}
@@ Line 260: / Line 234: @@
 * WE: ~2 = 1194.3937{{c}}, ~75/49 = 741.2117{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~75/49 = 744.2018{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~75/49 = 743.375{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 21, 29cde }}
@@ Line 276: / Line 249: @@
 * WE: ~2 = 1193.8564{{c}}, ~20/13 = 740.9635{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2703{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~20/13 = 743.233{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 21, 29cdef }}
@@ Line 292: / Line 264: @@
 * WE: ~2 = 1194.2330{{c}}, ~20/13 = 741.1242{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~20/13 = 744.2679{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~20/13 = 743.179{{c}} -->
 {{Optimal ET sequence|legend=0| 8d, 21, 29cdef }}
@@ Line 300: / Line 271: @@
 == Slurpee ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Slurpee]].''
+Slurpee may be described as the {{nowrap| 16 & 17c }} temperament. It has a generator that is a somewhat flat semitone of [[~]][[21/20]], three make [[8/7]], seven make [[4/3]], and eleven make [[8/5]], with a [[ploidacot]] signature of omega-heptacot.
 [[Subgroup]]: 2.3.5.7
@@ Line 313: / Line 286: @@
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~21/20 = 72.4941{{c}}
 : error map: {{val| 0.000 -9.414 +16.251 +13.692 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.776{{c}}
-: [[error map]]: {{val| 0.000 -11.385 +13.153 +12.847 }}
-* [[POTE]]: ~2 = 1200.000{{c}}, ~21/20 = 72.303{{c}}
-: error map: {{val| 0.000 -8.075 +18.355 +14.265 }} -->
 {{Optimal ET sequence|legend=1| 16, 17c, 33 }}
@@ Line 332: / Line 301: @@
 * WE: ~2 = 1198.4220{{c}}, ~21/20 = 72.2015{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4470{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.681{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.297{{c}} -->
 {{Optimal ET sequence|legend=0| 16, 17c, 33 }}
@@ Line 349: / Line 316: @@
 * WE: ~2 = 1199.0238{{c}}, ~21/20 = 72.3506{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~21/20 = 72.4956{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~21/20 = 72.653{{c}}
-* POTE: ~2 = 1200.000{{c}}, ~21/20 = 72.409{{c}} -->
 {{Optimal ET sequence|legend=0| 16, 17c, 33 }}
@@ Line 357: / Line 322: @@
 == Shallowtone ==
+{{Main| Shallowtone }}
 : ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''
@@ Line 371: / Line 337: @@
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 681.2447{{c}}
 : error map: {{val| 0.000 -20.710 +1.239 +6.110 }}
-<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 681.278{{c}}
-: [[error map]]: {{val| 0.000 -20.677 +0.906 +6.510 }} -->
 {{Optimal ET sequence|legend=1| 7, 30b, 37b }}
@@ Line 388: / Line 352: @@
 * WE: ~2 = 1202.0285{{c}}, ~3/2 = 682.4922{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.3267{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 681.254{{c}} -->
 {{Optimal ET sequence|legend=0| 7, 30b, 37b }}
@@ Line 404: / Line 367: @@
 * WE: ~2 = 1201.4928{{c}}, ~3/2 = 682.1188{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 681.2669{{c}}
-<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 681.237{{c}} -->
 {{Optimal ET sequence|legend=0| 7, 30b, 37b }}