User:2^67-1/Sandbox II: Difference between revisions

Latest revision as of 06:30, 9 February 2026

3-limit uniform maps between 0 and 10
Min. size	Max. size	Wart notation	Map
0.0000	0.3155	0	⟨0 0]
0.3155	0.5000	0bb	⟨0 1]
0.5000	0.9464	1b	⟨1 1]
0.9464	1.5000	1	⟨1 2]
1.5000	1.5773	2bb	⟨2 2]
1.5773	2.2083	2	⟨2 3]
2.2083	2.5000	2b	⟨2 4]
2.5000	2.8392	3b	⟨3 4]
2.8392	3.4701	3	⟨3 5]
3.4701	3.5000	3bb	⟨3 6]
3.5000	4.1010	4	⟨4 6]
4.1010	4.5000	4b	⟨4 7]
4.5000	4.7320	5b	⟨5 7]
4.7320	5.3629	5	⟨5 8]
5.3629	5.5000	5bb	⟨5 9]
5.5000	5.9938	6b	⟨6 9]
5.9938	6.5000	6	⟨6 10]
6.5000	6.6248	7bb	⟨7 10]
6.6248	7.2557	7	⟨7 11]
7.2557	7.5000	7b	⟨7 12]
7.5000	7.8866	8b	⟨8 12]
7.8866	8.5000	8	⟨8 13]
8.5000	8.5176	9bb	⟨9 13]
8.5176	9.1485	9	⟨9 14]
9.1485	9.5000	9b	⟨9 15]
9.5000	9.7794	10b	⟨10 15]
9.7794	10.4103	10	⟨10 16]

@@ Line 1: / Line 1: @@
-==Notation==
+{|class = "wikitable" style="text-align: center"
+|-
+! colspan ="10" | Notes || Step pattern || Name
+|-
+| 0 || 1# || 2 || 3# || 4 || 5 || 6# || 7 || 8# || 9 || LsLssLsLss || Atlantic
+|-
+| 0 || 1# || 2 || 3 || 4 || 5 || 6# || 7 || 8 || 9 || LssLsLssLs || Lumian
+|-
+| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || sLsLssLsLs || Pacific
+|-
+| 0 || 1 || 2 || 3 || 4b || 5 || 6 || 7 || 8 || 9b || sLssLsLssL || Taliesin
+|-
+| 0 || 1 || 2b || 3 || 4b || 5 || 6 || 7b || 8 || 9b || ssLsLssLsL || Dresden
+|}
-The notation used is decatonic. 0 1 2 3 4 5 6 7 8 9 0 is the Pacific mode of the Hemipyth[10] 4L 6s MOS. # and b after a number represent alterations of raising and lowering by sqrt(256/243) respectively. ^ and v before a number represent alterations of the greenland subchroma, sqrt(50/49)~sqrt(sqrt(25/24))~sqrt(49/48) respectively.
+{{Uniform map|edo=2|min=0|max=10|limit=3}}
-==Chapter 1: Fokker blocks==
-===Decatonic Fokker blocks===
-===14-tone Fokker blocks===
-===24-tone Fokker blocks===
-===Larger Fokker blocks===
-==Chapter 2: JI scales==
-===Preliminary: The 7-odd-limit Tonality Diamond===
-===The 15-odd-limit Tonality Diamond===
-===JI detemperings of Fokker blocks===