Syntonic–chromatic equivalence continuum: Difference between revisions

Line 154:

{| class="wikitable"

|+ style="font-size: 105%;" | Temperaments with fractional ''n'' and ''m''

|+ style="font-size: 105%;" | Temperaments with fractional ''n'' and ''m'' (and thus also ''k'')

|-

! ''n'' !! ''m'' !! Temperament !! Comma

! ''n'' !! ''k'' !! ''m'' !! Temperament !! Comma

|-

| 7/3 = 2.{{overline|3}} || 7/4 = 1.75 || [[Seville]] || {{monzo| -5 -7 7 }}

| 7/3 = 2.{{overline|3}} || 1/3 = 0.{{overline|3}} || 7/4 = 1.75 || [[Seville]] || {{monzo| -5 -7 7 }}

|-

| 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Sixix]] || {{monzo| -2 -6 5 }}

| 5/2 = 2.5 || 1/2 = 0.5 || 5/3 = 1.{{overline|6}} || [[Sixix]] || {{monzo| -2 -6 5 }}

|-

| 7/2 = 3.5 || 7/5 = 1.4 || [[Sevond]] || {{monzo| 6 -14 7 }}

| 7/2 = 3.5 || 3/2 = 1.5 || 7/5 = 1.4 || [[Sevond]] || {{monzo| 6 -14 7 }}

|-

| 9/2 = 4.5 || 9/7 = 1.{{overline|285714}} || [[Artoneutral (temperament)|Artoneutral]] || {{monzo| 14 -22 9 }}

| 9/2 = 4.5 || 5/2 = 2.5 || 9/7 = 1.{{overline|285714}} || [[Artoneutral (temperament)|Artoneutral]] || {{monzo| 14 -22 9 }}

|-

| 21/4 = 5.25 || 21/17 = 1.235… || [[Brahmagupta]] || {{monzo| 40 -56 21 }}

| 21/4 = 5.25 || 13/4 = 3.25 || 21/17 = 1.235… || [[Brahmagupta]] || {{monzo| 40 -56 21 }}

|-

| 37/7 = 5.{{overline|285714}} || 37/30 = 1.2{{overline|3}} || [[Raider]] || {{monzo| 71 -99 37 }}

| 37/7 = 5.{{overline|285714}} || 37/7 = 3+2/7 || 37/30 = 1.2{{overline|3}} || [[Raider]] || {{monzo| 71 -99 37 }}

|-

| 16/3 = 5.{{overline|3}} || 16/13 = 1.{{overline|230769}} || [[Geb]] || {{monzo| -31 43 -16 }}

| 16/3 = 5.{{overline|3}} || 10/3 = 3.{{overline|3}} || 16/13 = 1.{{overline|230769}} || [[Geb]] || {{monzo| -31 43 -16 }}

|-

| 11/2 = 5.5 || 11/9 = 1.{{overline|2}} || [[Undetrita]] || {{monzo| -22 30 -11 }}

| 11/2 = 5.5 || 7/2 = 3.5 || 11/9 = 1.{{overline|2}} || [[Undetrita]] || {{monzo| -22 30 -11 }}

|}

@@ Line 154: / Line 154: @@
 {| class="wikitable"
-|+ style="font-size: 105%;" | Temperaments with fractional ''n'' and ''m''
+|+ style="font-size: 105%;" | Temperaments with fractional ''n'' and ''m'' (and thus also ''k'')
 |-
-! ''n'' !! ''m'' !! Temperament !! Comma
+! ''n'' !! ''k'' !! ''m'' !! Temperament !! Comma
 |-
-| 7/3 = 2.{{overline|3}} || 7/4 = 1.75 || [[Seville]] || {{monzo| -5 -7 7 }}
+| 7/3 = 2.{{overline|3}} || 1/3 = 0.{{overline|3}} || 7/4 = 1.75 || [[Seville]] || {{monzo| -5 -7 7 }}
 |-
-| 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Sixix]] || {{monzo| -2 -6 5 }}
+| 5/2 = 2.5 || 1/2 = 0.5 || 5/3 = 1.{{overline|6}} || [[Sixix]] || {{monzo| -2 -6 5 }}
 |-
-| 7/2 = 3.5 || 7/5 = 1.4 || [[Sevond]] || {{monzo| 6 -14 7 }}
+| 7/2 = 3.5 || 3/2 = 1.5 || 7/5 = 1.4 || [[Sevond]] || {{monzo| 6 -14 7 }}
 |-
-| 9/2 = 4.5 || 9/7 = 1.{{overline|285714}} || [[Artoneutral (temperament)|Artoneutral]] || {{monzo| 14 -22 9 }}
+| 9/2 = 4.5 || 5/2 = 2.5 || 9/7 = 1.{{overline|285714}} || [[Artoneutral (temperament)|Artoneutral]] || {{monzo| 14 -22 9 }}
 |-
-| 21/4 = 5.25 || 21/17 = 1.235… || [[Brahmagupta]] || {{monzo| 40 -56 21 }}
+| 21/4 = 5.25 || 13/4 = 3.25 || 21/17 = 1.235… || [[Brahmagupta]] || {{monzo| 40 -56 21 }}
 |-
-| 37/7 = 5.{{overline|285714}} || 37/30 = 1.2{{overline|3}} || [[Raider]] || {{monzo| 71 -99 37 }}
+| 37/7 = 5.{{overline|285714}} || 37/7 = 3+2/7 || 37/30 = 1.2{{overline|3}} || [[Raider]] || {{monzo| 71 -99 37 }}
 |-
-| 16/3 = 5.{{overline|3}} || 16/13 = 1.{{overline|230769}} || [[Geb]] || {{monzo| -31 43 -16 }}
+| 16/3 = 5.{{overline|3}} || 10/3 = 3.{{overline|3}} || 16/13 = 1.{{overline|230769}} || [[Geb]] || {{monzo| -31 43 -16 }}
 |-
-| 11/2 = 5.5 || 11/9 = 1.{{overline|2}} || [[Undetrita]] || {{monzo| -22 30 -11 }}
+| 11/2 = 5.5 || 7/2 = 3.5 || 11/9 = 1.{{overline|2}} || [[Undetrita]] || {{monzo| -22 30 -11 }}
 |}