Gravity: Difference between revisions

added diagram
added tuning spectre
Line 140: Line 140:
[[File:Gravity tuning spectrum.png|thumb|alt=Gravity.png|600x560px|A chart of the tuning spectrum of gravity, showing the offsets of prime harmonics 3, 5, and 11, and odds 9 and 15, as a function of the generator; all edo tunings are shown with vertical lines whose length indicates the edo's tolerance, i.e. half of its step size in either direction of just, and some small edos supporting the temperament are labeled.]]
[[File:Gravity tuning spectrum.png|thumb|alt=Gravity.png|600x560px|A chart of the tuning spectrum of gravity, showing the offsets of prime harmonics 3, 5, and 11, and odds 9 and 15, as a function of the generator; all edo tunings are shown with vertical lines whose length indicates the edo's tolerance, i.e. half of its step size in either direction of just, and some small edos supporting the temperament are labeled.]]


{{todo|add tuning spectrum|inline=1}}
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
! EDO<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
! Generator (¢)
! Comments
|-
| '''[[7edo|3\7]]'''
|
| '''514.2857'''
| '''Lower bound of 5- to 15-odd-limit diamond monotone'''
|-
|
| [[11/9]]
| 515.8026
|
|-
| [[79edo|34\79]]
|
| 516.4557
|
|-
|
| [[10/9]]
| 516.4807
| 1/5-comma
|-
|
| [[11/6]]
| 516.5959
|
|-
| [[72edo|31\72]]
|
| 516.6667
|
|-
| [[209edo|90\209]]
|
| 516.7464
|
|-
|
| [[11/8]]
| 516.7545
|
|-
|
| [[5/3]]
| 516.7599
| 2/11-comma
|-
| [[137edo|59\137]]
|
| 516.7883
|
|-
|
| [[25/24]]
| 516.8097
| 5/28-comma
|-
| [[339edo|146\339]]
|
| 516.8142
|
|-
| [[202edo|87\202]]
|
| 516.8317
|
|-
|
| [[5/4]]
| 516.8420
| 3/17-comma
|-
| [[267edo|115\267]]
|
| 516.8539
|
|-
|
| [[15/8]]
| 516.8812
| 4/23-comma
|-
| [[65edo|28\65]]
|
| 516.9231
|
|-
|
| [[3/2]]
| 516.9925
| 1/6-comma
|-
| [[123edo|53\123]]
|
| 517.0732
|
|-
|
| [[15/11]]
| 517.1188
|
|-
| [[58edo|25\58]]
|
| 517.2414
|
|-
|
| [[20/11]]
| 517.4979
|
|-
| [[51edo|22\51]]
|
| 517.6471
| 51ce val
|-
|
| [[27/20]]
| 519.5513
| Untempered tuning
|-
| '''[[30edo|13\30]]'''
|
| '''520.0000'''
| 30bccee val, '''upper bound of (2.3.5.11) 11- and 15-odd-limit diamond monotone'''
|-
| '''[[23edo|10\23]]'''
|
| '''521.7391'''
| 23bcccee val, '''upper bound of (2.3.5) 5- and 9-odd-limit diamond monotone'''
|}
<nowiki/>* Besides the octave
 


[[Category:Temperaments]]
[[Category:Temperaments]]