User:Dave Keenan/sandbox: Difference between revisions

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According to the OED, the earliest English use of '''apotome''' (alt. spelling "apotomy") with its musical as opposed to mathematical meaning, and of '''limma''', is in 1694 in ''A Treatise of the Natural Grounds and Principles of Harmony''<ref>https://ota.bodleian.ox.ac.uk/repository/xmlui/bitstream/handle/20.500.12024/A44132/A44132.html</ref> by Church of England clergyman and natural philosopher William Holder. A relevant quote is "Difference between ... Tone Maj. and Limma. Apotome 2187 to 2048". The words are formed from the Greek, with "apo" meaning "away", "tome" meaning "cut" and limma meaning "remnant". So we begin with a major whole tone, the part cut away is the apotome (chromatic semitone) and the remnant is the limma (diatonic semitone).
Testing a Stein-Zimmermann-Gould notation template {&#x2060;{szg|...}} similar to the Sagittal template.
 
text{{../szg| vvv# }}text<br>text{{../szg| ^^^b }}text
 
{| class="wikitable center-all"
|-
{{#ifeq: {{{1|}}} | 60
| ! Semitones
{{!}} '''0''' {{!!}} {{frac|5}} {{!!}} {{frac|2|5}} {{!!}} {{frac|3|5}} {{!!}} {{frac|4|5}} {{!!}} '''1''' {{!!}} {{frac|1|1|5}} {{!!}} {{frac|1|2|5}} {{!!}} {{frac|1|3|5}} {{!!}} {{frac|1|4|5}} {{!!}} '''2''' {{!!}} {{frac|2|1|5}} {{!!}} {{frac|2|2|5}} {{!!}} {{frac|2|3|5}}
| ! Step offset
{{!}} '''0''' {{!!}} 1 {{!!}} 2 {{!!}} 3 {{!!}} 4 {{!!}} '''5''' {{!!}} 6 {{!!}} 7 {{!!}} 8 {{!!}} 9 {{!!}} '''10''' {{!!}} 11 {{!!}} 12 {{!!}} 13
}}
|-
! rowspan="2" | Sharp symbol
| rowspan="4" | {{../szg| n |size=400%}}
| rowspan="2" | {{../szg| ^n |size=400%}}
| {{../szg| ^^n |size=400%|height=68px}}
| {{../szg| ^^^n |size=400%|height=78px}}
| rowspan="2" | {{../szg| v# |size=400%}}
| rowspan="2" | {{../szg| # |size=400%}}
| rowspan="2" | {{../szg| ^# |size=400%}}
| {{../szg| ^^# |size=400%|height=68px}}
| {{../szg| ^^^# |size=400%|height=78px}}
| rowspan="2" | {{../szg| vx |size=400%}}
| rowspan="2" | {{../szg| x |size=400%}}
| rowspan="2" | {{../szg| ^x |size=400%}}
| rowspan="2" | {{../szg| ^^x |size=400%}}
| rowspan="2" | {{../szg| ^^^x |size=400%}}
|-
| {{../szg| vvv# |size=400%|height=68px}}
| {{../szg| vv# |size=400%|height=68px}}
| {{../szg| vvvx |size=400%|height=68px}}
| {{../szg| vvx |size=400%|height=68px}}
|-
! rowspan="2" | Flat symbol
| rowspan="2" | {{../szg| vn |size=400%}}
| {{../szg| vvn |size=400%|height=68px}}
| {{../szg| vvvn |size=400%|height=68px}}
| rowspan="2" | {{../szg| ^b |size=400%}}
| rowspan="2" | {{../szg| b |size=400%}}
| rowspan="2" | {{../szg| vb |size=400%}}
| {{../szg| vvb |size=400%|height=68px}}
| {{../szg| vvvb |size=400%|height=68px}}
| rowspan="2" | {{../szg| ^bb |size=400%}}
| rowspan="2" | {{../szg| bb |size=400%}}
| rowspan="2" | {{../szg| vbb |size=400%}}
| rowspan="2" | {{../szg| vvbb |size=400%}}
| rowspan="2" | {{../szg| vvvbb |size=400%}}
|-
| {{../szg| ^^^b |size=400%|height=86px}}
| {{../szg| ^^b |size=400%|height=68px}}
| {{../szg| ^^^bb |size=400%|height=86px}}
| {{../szg| ^^bb |size=400%|height=68px}}
|}
 
{| class="wikitable center-all"
|-
{{#ifeq: {{{1|}}} | 168
| ! Semitones
{{!}} '''0''' {{!!}} {{frac|1|14}} {{!!}} {{frac|2|14}} {{!!}} {{frac|3|14}} {{!!}} {{frac|4|14}} {{!!}} {{frac|5|14}} {{!!}} {{frac|6|14}} {{!!}} {{frac|7|14}} {{!!}} {{frac|8|14}} {{!!}} {{frac|9|14}} {{!!}} {{frac|10|14}} {{!!}} {{frac|11|14}} {{!!}} {{frac|12|14}} {{!!}} {{frac|13|14}} {{!!}} '''1''' {{!!}} {{frac|1|1|14}} {{!!}} {{frac|1|2|14}} {{!!}} {{frac|1|3|14}}
| ! Step offset
{{!}} '''0''' {{!!}} 1 {{!!}} 2 {{!!}} 3 {{!!}} 4 {{!!}} 5 {{!!}} 6 {{!!}} 7 {{!!}} 8 {{!!}} 9 {{!!}} 10 {{!!}} 11 {{!!}} 12 {{!!}} 13 {{!!}} '''14''' {{!!}} 15 {{!!}} 16 {{!!}} 17
}}
|-
! Sharp symbol
| rowspan="2" | {{../szg| n |size=500%|line-height=90px}}
| {{../szg| ^n |size=500%|height=90px}}
| {{../szg| ^^n |size=500%|height=90px}}
| {{../szg| ^^^n |size=500%|height=90px}}
| {{../szg| vvvt |size=500%|height=90px}}
| {{../szg| vvt |size=500%|height=90px}}
| {{../szg| vt |size=500%|height=90px}}
| {{../szg| t |size=500%|height=90px}}
| {{../szg| ^t |size=500%|height=90px}}
| {{../szg| ^^t |size=500%|height=90px}}
| {{../szg| ^^^t |size=500%|height=90px}}
| {{../szg| vvv# |size=500%|height=90px}}
| {{../szg| vv# |size=500%|height=90px}}
| {{../szg| v# |size=500%|height=90px}}
| {{../szg| # |size=500%|height=90px}}
| {{../szg| ^# |size=500%|height=90px}}
| {{../szg| ^^# |size=500%|height=90px}}
| {{../szg| ^^^# |size=500%|height=90px}}
|-
! Flat symbol
| {{../szg| vn |size=500%|height=90px}}
| {{../szg| vvn |size=500%|height=90px}}
| {{../szg| vvvn |size=500%|height=90px}}
| {{../szg| ^^^d |size=500%|height=90px}}
| {{../szg| ^^d |size=500%|height=90px}}
| {{../szg| ^d |size=500%|height=90px}}
| {{../szg| d |size=500%|height=90px}}
| {{../szg| vd |size=500%|height=90px}}
| {{../szg| vvd |size=500%|height=90px}}
| {{../szg| vvvd |size=500%|height=90px}}
| {{../szg| ^^^b |size=500%|height=90px}}
| {{../szg| ^^b |size=500%|height=90px}}
| {{../szg| ^b |size=500%|height=90px}}
| {{../szg| b |size=500%|height=90px}}
| {{../szg| vb |size=500%|height=90px}}
| {{../szg| vvb |size=500%|height=90px}}
| {{../szg| vvvb |size=500%|height=90px}}
|}
{| class="wikitable center-all"
|-
{{#ifeq: {{{1|}}} | 168
| ! Semitones
{{!}} {{frac|1|4|14}} {{!!}} {{frac|1|5|14}} {{!!}} {{frac|1|6|14}} {{!!}} {{frac|1|7|14}} {{!!}} {{frac|1|8|14}} {{!!}} {{frac|1|9|14}} {{!!}} {{frac|1|10|14}} {{!!}} {{frac|1|11|14}} {{!!}} {{frac|1|12|14}} {{!!}} {{frac|1|13|14}} {{!!}} '''2''' {{!!}} {{frac|2|1|14}} {{!!}} {{frac|2|2|14}} {{!!}} {{frac|2|3|14}}
| ! Step Offset
{{!}} 18 {{!!}} 19 {{!!}} 20 {{!!}} 21 {{!!}} 22 {{!!}} 23 {{!!}} 24 {{!!}} 25 {{!!}} 26 {{!!}} 27 {{!!}} '''28''' {{!!}} 29 {{!!}} 30 {{!!}} 31
}}
|-
! Sharp Symbol
| {{../szg| vvvt# |size=500%|height=90px}}
| {{../szg| vvt# |size=500%|height=90px}}
| {{../szg| vt# |size=500%|height=90px}}
| {{../szg| t# |size=500%|height=90px}}
| {{../szg| ^t# |size=500%|height=90px}}
| {{../szg| ^^t# |size=500%|height=90px}}
| {{../szg| ^^^t# |size=500%|height=90px}}
| {{../szg| vvvx |size=500%|height=90px}}
| {{../szg| vvx |size=500%|height=90px}}
| {{../szg| vx |size=500%|height=90px}}
| {{../szg| x |size=500%|height=90px}}
| {{../szg| ^x |size=500%|height=90px}}
| {{../szg| ^^x |size=500%|height=90px}}
| {{../szg| ^^^x |size=500%|height=90px}}
|-
! Flat Symbol
| {{../szg| ^^^db |size=500%|height=90px}}
| {{../szg| ^^db |size=500%|height=90px}}
| {{../szg| ^db |size=500%|height=90px}}
| {{../szg| db |size=500%|height=90px}}
| {{../szg| vdb |size=500%|height=90px}}
| {{../szg| vvdb |size=500%|height=90px}}
| {{../szg| vvvdb |size=500%|height=90px}}
| {{../szg| ^^^bb |size=500%|height=90px}}
| {{../szg| ^^bb |size=500%|height=90px}}
| {{../szg| ^bb |size=500%|height=90px}}
| {{../szg| bb |size=500%|height=90px}}
| {{../szg| vbb |size=500%|height=90px}}
| {{../szg| vvbb |size=500%|height=90px}}
| {{../szg| vvvbb |size=500%|height=90px}}
|}
 
<span style="font-size: 800%; line-height: 300px;">
{{../szg| bb }}{{../szg| db }}
{{../szg| b }}
{{../szg| d }}
{{../szg| n }}
{{../szg| t }}
{{../szg| # }}
{{../szg| t# }}
{{../szg| x }}
{{../szg| ^ }}
{{../szg| ^| }}
{{../szg| ^bb }}
{{../szg| ^db }}
{{../szg| ^b }}
{{../szg| ^d }}
{{../szg| ^n }}
{{../szg| ^t }}
{{../szg| ^# }}
{{../szg| ^t# }}
{{../szg| ^x }}
{{../szg| v }}
{{../szg| v| }}
{{../szg| vbb }}
{{../szg| vdb }}
{{../szg| vb }}
{{../szg| vd }}
{{../szg| vn }}
{{../szg| vt }}
{{../szg| v# }}
{{../szg| vt# }}
{{../szg| vx }}
{{../szg| ^^| }}
{{../szg| ^^bb }}
{{../szg| ^^db }}
{{../szg| ^^b }}
{{../szg| ^^d }}
{{../szg| ^^n }}
{{../szg| ^^t }}
{{../szg| ^^# }}
{{../szg| ^^t# }}
{{../szg| ^^x }}
{{../szg| vv| }}
{{../szg| vvbb }}
{{../szg| vvdb }}
{{../szg| vvb }}
{{../szg| vvd }}
{{../szg| vvn }}
{{../szg| vvt }}
{{../szg| vv# }}
{{../szg| vvt# }}
{{../szg| vvx }}
{{../szg| ^^^| }}
{{../szg| ^^^bb }}
{{../szg| ^^^db }}
{{../szg| ^^^b }}
{{../szg| ^^^d }}
{{../szg| ^^^n }}
{{../szg| ^^^t }}
{{../szg| ^^^# }}
{{../szg| ^^^t# }}
{{../szg| ^^^x }}
{{../szg| vvv| }}
{{../szg| vvvbb }}
{{../szg| vvvdb }}
{{../szg| vvvb }}
{{../szg| vvvd }}
{{../szg| vvvn }}
{{../szg| vvvt }}
{{../szg| vvv# }}
{{../szg| vvvt# }}
{{../szg| vvvx }}
</span>

Latest revision as of 06:51, 28 May 2026

Testing a Stein-Zimmermann-Gould notation template {⁠{szg|...}} similar to the Sagittal template.

texttext
texttext

Step offset 0 1 2 3 4 5 6 7 8 9 10 11 12 13
Sharp symbol
Flat symbol
Step offset 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Sharp symbol
Flat symbol
Step Offset 18 19 20 21 22 23 24 25 26 27 28 29 30 31
Sharp Symbol
Flat Symbol