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

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
2^67-1 (talk | contribs)
516 edits
2^67-1 (talk | contribs)
516 edits
mNo edit summary
Line 1: Line 1:
==Notation==
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.
==Chapter 1: Fokker blocks==
===Decatonic Fokker blocks===
Since greenland is essentially an extension of hemipyth with extra subchromatic alterations, it follows that one should probably treat greenland in this way.
The quintessential Fokker block, though not rank-3 in nature, is the '''hemipyth[10] block'''. This block has five modes.
{|class = "wikitable" style="text-align: center"
{|class = "wikitable" style="text-align: center"
|-
|-
Line 24: Line 13:
| 0 || 1 || 2b || 3 || 4b || 5 || 6 || 7b || 8 || 9b || ssLsLssLsL || Dresden
| 0 || 1 || 2b || 3 || 4b || 5 || 6 || 7b || 8 || 9b || ssLsLssLsL || Dresden
|}
|}
===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===

Revision as of 13:01, 14 March 2025

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
Retrieved from "https://en.xen.wiki/index.php?title=User:2%5E67-1/Sandbox_II&oldid=186028"