Sensamagic: Difference between revisions

(2 intermediate revisions by 2 users not shown)

Line 11:

| Odd limit 2 = 11-limit 21 | Mistuning 2 = 5.11 | Complexity 2 = ?

}}

'''Sensamagic''' is a [[rank-3 ~~temperament|rank-3]] [[regular temperament|~~temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].

'''Sensamagic''' is a [[rank-3 temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].

It favors a sharp supermajor third, and subtracting such a third from a [[4/3|perfect fourth]] produces a narrow subminor second of [[28/27]][[~]][[36/35]]. The canonical [[11-limit]] [[extension]] identifies this interval with [[33/32]], so that [[11/8]] is that plus a perfect fourth. This adds [[385/384]] and [[896/891]] to the comma list and makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].

Line 69:

|-

! Tenney

| CTE: ~3/2 = 703.7424{{c}}, ~9/7 = ~~443~~.9020{{c}}

| CTE: ~3/2 = 703.7424{{c}}, ~9/7 = 440.9020{{c}}

| CWE: ~3/2 = 703.7411{{c}}, ~9/7 = 440.9017{{c}}

| POTE: ~3/2 = 703.7424{{c}}, ~9/7 = ~~443~~.9020{{c}}

| POTE: ~3/2 = 703.7424{{c}}, ~9/7 = 440.9020{{c}}

|}

Line 85:

|-

! Tenney

| CTE: ~3/2 = 703.7737{{c}}, ~9/7 = ~~443~~.9186{{c}}

| CTE: ~3/2 = 703.7737{{c}}, ~9/7 = 440.9186{{c}}

| CWE: ~3/2 = 703.7948{{c}}, ~9/7 = 440.9180{{c}}

| POTE: ~3/2 = 703.8004{{c}}, ~9/7 = 440.9178{{c}}

|}

=== Tuning spectrum ===

[[Category:Sensamagic| ]]

@@ Line 11: / Line 11: @@
 | Odd limit 2 = 11-limit 21 | Mistuning 2 = 5.11 | Complexity 2 = ?
 }}
-'''Sensamagic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].
+'''Sensamagic''' is a [[rank-3 temperament]] with the same [[lattice]] structure as the [[2.3.7 subgroup]], while identifying the [[5/3]] major sixth as a stack of two [[9/7]] supermajor thirds, [[tempering out]] [[245/243]]. It is the head of the [[sensamagic family]].
 It favors a sharp supermajor third, and subtracting such a third from a [[4/3|perfect fourth]] produces a narrow subminor second of [[28/27]][[~]][[36/35]]. The canonical [[11-limit]] [[extension]] identifies this interval with [[33/32]], so that [[11/8]] is that plus a perfect fourth. This adds [[385/384]] and [[896/891]] to the comma list and makes it a member of both [[keenanismic temperaments]] and [[pentacircle clan]].
@@ Line 69: / Line 69: @@
 |-
 ! Tenney
-| CTE: ~3/2 = 703.7424{{c}}, ~9/7 = 443.9020{{c}}
+| CTE: ~3/2 = 703.7424{{c}}, ~9/7 = 440.9020{{c}}
 | CWE: ~3/2 = 703.7411{{c}}, ~9/7 = 440.9017{{c}}
-| POTE: ~3/2 = 703.7424{{c}}, ~9/7 = 443.9020{{c}}
+| POTE: ~3/2 = 703.7424{{c}}, ~9/7 = 440.9020{{c}}
 |}
@@ Line 85: / Line 85: @@
 |-
 ! Tenney
-| CTE: ~3/2 = 703.7737{{c}}, ~9/7 = 443.9186{{c}}
+| CTE: ~3/2 = 703.7737{{c}}, ~9/7 = 440.9186{{c}}
 | CWE: ~3/2 = 703.7948{{c}}, ~9/7 = 440.9180{{c}}
 | POTE: ~3/2 = 703.8004{{c}}, ~9/7 = 440.9178{{c}}
 |}
+=== Tuning spectrum ===
+{{Todo|complete section|inline=1}}
 [[Category:Sensamagic| ]] <!-- main article -->