Semaphore and godzilla: Difference between revisions

+ basic tunings
Modernize the interval chain tables
Line 12: Line 12:


== Interval chains ==
== Interval chains ==
In the following tables, odd harmonics 1–13 and their inverses are in '''bold'''.
=== Semaphore ===
=== Semaphore ===
{| class="wikitable"
{| class="wikitable center-1 right-2"
|-
! # !! Cents* !! Approximate ratios
|-
| 0 || 0.0 || '''1/1'''
|-
| 1 || 950.7 || '''7/4''', 12/7
|-
| 2 || 701.4 || '''3/2'''
|-
| 3 || 452.1 || 9/7, 21/16
|-
|-
! Cents
| 4 || 202.8 || '''9/8'''
| 198.46
| 448.85
| 699.23
| 949.62
| 0
| 250.38
| 500.77
| 751.15
| 1001.54
|-
|-
! JI ratios
| 5 || 1153.4 || 27/14, 63/32
| [[9/8|9/8]]
| [[9/7|9/7]]
| [[3/2|3/2]]
| 12/7~7/4
| [[1/1|1/1]]
| 8/7~7/6
| [[4/3|4/3]]
| [[14/9|14/9]]
| [[16/9|16/9]]
|}
|}
<nowiki/>* In 2.3.7-subgroup CWE tuning, octave reduced


=== Godzilla ===
=== Godzilla ===
{| class="wikitable"
{| class="wikitable center-1 right-2"
|-
! # !! Cents* !! Approximate ratios
|-
| 0 || 0.0 || '''1/1'''
|-
| 1 || 948.0 || '''7/4''', 12/7, 26/15
|-
| 2 || 696.0 || '''3/2'''
|-
| 3 || 444.0 || 9/7, 13/10, 21/16
|-
| 4 || 192.0 || '''9/8''', 10/9
|-
| 5 || 1140.0 || 27/14, 39/20, 40/21, 52/27, 63/32
|-
| 6 || 888.0 || 5/3
|-
| 7 || 636.0 || 10/7, 13/9
|-
| 8 || 384.0 || '''5/4'''
|-
| 9 || 132.0 || 13/12, 15/14
|-
| 10 || 1080.0 || 13/7, 15/8
|-
| 11 || 828.0 || '''13/8'''
|-
| 12 || 576.0 || 25/18, 39/28, 45/32
|-
|-
! Cents
| 13 || 324.0 || 39/32
| 378.92
| 631.56
| 884.19
| 1136.83
| 189.46
| 442.10
| 694.73
| 947.37
| 0
| 252.63
| 505.27
| 757.90
| 1010.54
| 63.17
| 315.81
| 568.44
| 821.08
|-
|-
! JI ratios
| 14 || 72.1 || 25/24, 50/49
| [[5/4|5/4]]~16/13
| [[10/7|10/7]]~13/9
| [[5/3|5/3]]
| 27/14
| 10/9~9/8
| 9/7~13/10
| 3/2
| 12/7~7/4~26/15
| 1/1
| 8/7~7/6~15/13
| 4/3
| 14/9~20/13
| 16/9~9/5
| 28/27~21/20
| [[6/5|6/5]]
| [[7/5|7/5]]~18/13
| [[8/5|8/5]]~13/8
|}
|}
<nowiki/>* In 2.3.5.7.13-subgroup CWE tuning, octave reduced


== Scales ==
== Scales ==