Skip to content

Commit

Permalink
Update semioctave alternative to use a smaller up inflection
Browse files Browse the repository at this point in the history
Keep the old version as an example.
  • Loading branch information
frostburn committed May 5, 2024
1 parent 1a672fd commit 07eec13
Show file tree
Hide file tree
Showing 3 changed files with 43 additions and 9 deletions.
20 changes: 11 additions & 9 deletions documentation/advanced-dsl.md
Original file line number Diff line number Diff line change
Expand Up @@ -364,25 +364,27 @@ You can also declare ups to transport notes between the two periods if you wish
The labels indicate the equivalent Greek nominal.

```c
"Semioctave heptanominal alternative"
^ = 1\2 - P4
"Semioctave heptanominal alternative I"
^ = Aug4 - 1\2

C4 = 1/1
^C4 "gamma"
vC#4 "gamma"
D4
^D4 "delta"
vD#4 "delta"
E4
F4
^F4 "zeta"
vF#4 "zeta"
G4
^G4 "eta"
vG#4 "eta"
A4
^A4 "alpha"
^Bb4 "beta"
vA#4 "alpha"
vB4 "beta"
C5
```

The unfortunate mixed spelling ^B♭ is the result of demanding beta to be a perfect fourth above zeta. It is to be tolerated if we wish the two periods to be the same one semioctave apart.
Note how it's vB instead of vB♯ like everything else in order to have beta to be a perfect fourth above zeta. This way we get two identical periods one semioctave apart.

Here the up inflection is mere 11.730 cents. You can also check out the [other alternative](https://github.com/xenharmonic-devs/sonic-weave/blob/main/examples/semioctave-alternative-2.sw) where zeta = ^F instead resulting in more compact notation.

### The interordinal semifourth
When combined with a semiaugmented unison the true tone-splitters induce the notation `m2.5` for the semifourth `P4 / 2` basically for free.
Expand Down
16 changes: 16 additions & 0 deletions examples/semioctave-alternative-1.sw
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
"Semioctave heptanominal alternative I"
^ = Aug4 - 1\2

C4 = 1/1
vC#4 "gamma"
D4
vD#4 "delta"
E4
F4
vF#4 "zeta"
G4
vG#4 "eta"
A4
vA#4 "alpha"
vB4 "beta"
C5
16 changes: 16 additions & 0 deletions examples/semioctave-alternative-2.sw
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
"Semioctave heptanominal alternative II"
^ = 1\2 - P4

C4 = 1/1
^C4 "gamma"
D4
^D4 "delta"
E4
F4
^F4 "zeta"
G4
^G4 "eta"
A4
^A4 "alpha"
^Bb4 "beta"
C5

0 comments on commit 07eec13

Please sign in to comment.