34zpi: Difference between revisions

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VisualWikitext

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 '''34 zeta peak index''' (abbreviated '''34zpi'''), is the [[Equal-step tuning|equal-step]] [[tuning system]] obtained from the 34th [[Zeta peak index|peak]] of the [[The Riemann zeta function and tuning|Riemann zeta function]].
-{|class="wikitable"
+{{ZPI
-!colspan="3"|Tuning
+| zpi = 34
-!colspan="3"|Strength
+| steps = 12.0231830072926
-!colspan="2"|Closest EDO
+| step size = 99.8071807833375
-!colspan="2"|Integer limit
+| height = 5.193290
-|-
+| integral = 1.269599
-!ZPI
+| gap = 15.899282
-!Steps per octave
+| edo = 12edo
-!Step size (cents)
+| octave = 1197.68616940005
-!Height
+| consistent = 10
-!Integral
+| distinct = 6
-!Gap
+}}
-!EDO
-!Octave (cents)
-!Consistent
-!Distinct
-|-
-|34zpi
-|12.0231830072926
-|99.8071807833375
-|5.193290
-|1.269599
-|15.899282
-|[[12edo]]
-|1197.68616940005
-|10
-|6
-|}
 == Intervals ==
 {| class="wikitable center-1 right-2 left-3 center-4"
-|+ style="white-space:nowrap" | Intervals in 34zpi
+|+ style="font-size: 105%; white-space: nowrap;" | Intervals in 34zpi
 |-
 | colspan="3" style="text-align:left;" | JI ratios are comprised of 16-integer-limit ratios,<br>and are stylized as follows to indicate their accuracy:
@@ Line 47: / Line 30: @@
 ! Cents
 ! Ratios
-! Ups and Downs Notation
+! Ups and downs notation
 |-
 | 0
@@ Line 299: / Line 282: @@
 === Interval mappings ===
 The following tables show how 16-integer-limit intervals are represented in 34zpi. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italics''.
 {| class="wikitable center-1 right-2 right-3 mw-collapsible mw-collapsed"
-|+ style="white-space: nowrap;" | 16-integer-limit intervals in 34zpi<br>(by direct approximation)
+|+ style="white-space: nowrap;" | 16-integer-limit intervals in 34zpi (by direct approximation)
 |-
 ! Ratio