Sqrtphi: Difference between revisions

← Older edit

VisualWikitext

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-See [[Kleismic_family#Sqrtphi|Kleismic family]].
+The '''sqrtphi''' is a temperament for the 7, 11, 13, 17, and 19 prime limits. It is a member of [[kleismic family]], [[mirkwai clan]] and [[Wizmic microtemperaments|wizmic temperaments]]. The name "sqrtphi" stands for "square root of phi", which means the positive square root of the [[golden ratio]] <math>(\sqrt{\varphi} = \sqrt{\frac{1+\sqrt{5}}{2}})</math> as a frequency ratio.
+See [[Kleismic family #Sqrtphi|Kleismic family]] for more technical data.
+== Tuning spectrum ==
 Gencom: [2 14/11; 325/324 364/363 375/374 400/399 442/441 595/594]
-Gencom mapping: [&lt;1 12 11 16 17 28 27 -2|, &lt;0 -30 -25 -38 -39 -70 -66 18|]
+Gencom mapping: [{{val|1 12 11 16 17 28 27 -2}}, {{val|0 -30 -25 -38 -39 -70 -66 18}}]
-==Tuning spectrum==
 {| class="wikitable center-all"
 |-
-! | [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
+! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval]])
 ! | undecimal<br>major third (¢)
 ! | comments
@@ Line 37: / Line 38: @@
 | |
 |-
-| | [[15/14|15/14]]
+| | 15/14
 | | 416.50336
 | |
 |-
-| | [[14/13|14/13]]
+| | 14/13
 | | 416.50932
 | |
 |-
-| | [[15/13|15/13]]
+| | 15/13
 | | 416.51607
 | |
 |-
-| | [[19/16|19/16]]
+| | 19/16
 | | 416.52850
 | |
@@ Line 65: / Line 66: @@
 | |
 |-
-| | [[11/9|11/9]]
+| | 11/9
 | | 416.54324
 | |
@@ Line 71: / Line 72: @@
 | | (φ)
 | | 416.54515
-| |
+| | square root of phi
 |-
-| | [[5/4|5/4]]
+| | 5/4
 | | 416.54745
 | |
@@ Line 99: / Line 100: @@
 | | 13/10
 | | 416.57302
-| | 13, 15, 17, 19 and 21 limit minimax
+| | 13, 15, 17, 19 and 21-odd-limit minimax
 |-
 | | 24/19
@@ Line 125: / Line 126: @@
 | |
 |-
-| | [[9/7|9/7]]
+| | 9/7
 | | 416.58709
 | |
@@ Line 141: / Line 142: @@
 | |
 |-
-| | [[4/3|4/3]]
+| | 4/3
 | | 416.60150
-| | 5 limit minimax
+| | 5-odd-limit minimax
 |-
 | | 21/16
@@ Line 149: / Line 150: @@
 | |
 |-
-| | [[8/7|8/7]]
+| | 8/7
 | | 416.60984
-| | 7 and 9 limit minimax
+| | 7 and 9-odd-limit minimax
 |-
 | | 20/17
@@ Line 157: / Line 158: @@
 | |
 |-
-| | [[11/8|11/8]]
+| | 11/8
 | | 416.63287
-| | 11 limit minimax
+| | 11-odd-limit minimax
 |-
-| | [[10/9|10/9]]
+| | 10/9
 | | 416.64011
 | |
@@ Line 169: / Line 170: @@
 | |
 |-
-| | [[7/6|7/6]]
+| | 7/6
 | | 416.64114
 | |
@@ Line 177: / Line 178: @@
 | |
 |-
-| | [[7/5|7/5]]
+| | 7/5
 | | 416.72983
 | |
@@ Line 189: / Line 190: @@
 | |
 |-
-| | [[6/5|6/5]]
+| | 6/5
 | | 416.87174
 | |
@@ Line 201: / Line 202: @@
 | |
 |}
-[[Category:todo:add_definition]]
-[[Category:todo:intro]]
+== Scales ==
+* [[Sqrtphi17]]
+* [[Sqrtphi23]]
+* [[Sqrtphi49]]
+== Music ==
+'''[[Vito Sicurella]]'''
+* [http://micro.soonlabel.com/gene_ward_smith/Others/Sicurella/A%20Fight%20For%20Phi.mp3 A Fight for Phi]
+'''[[Chris Vaisvil]]'''
+* [http://micro.soonlabel.com/sqrt_phi/daily20111123a-sqrt-phi-17.mp3 Prelude for Piano in Square root of Phi Tuning]
+[[Category:Sqrtphi| ]] <!-- main article -->
+[[Category:Rank-2 temperaments]]
+[[Category:Kleismic family]]
+[[Category:Golden ratio]]