User talk:Aura/Aura's Ideas on Tonality: Difference between revisions

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instead of writing <code>11*3/2*10</code> which most people will read as multiplication, use <code>11^3/2^10</code> or <code>11**3/2**10</code> or <code>11<sup>3</sup>/2<sup>10</sup></code>. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:15, 18 October 2020 (UTC)
instead of writing <code>11*3/2*10</code> which most people will read as multiplication, use <code>11^3/2^10</code> or <code>11**3/2**10</code> or <code>11<sup>3</sup>/2<sup>10</sup></code>. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:15, 18 October 2020 (UTC)
== Interval table ==
I'd say that adding interval sizes could be of use, even cent precision would do, something like this:
{| class="wikitable center-1 right-2"
|-
! Ratio
! [[Cent]]s
! Interval Name(s)
|-
| [[33/32]]
| 53
| Alpharabian Superprime, Alpharabian Parachromatic Quartertone, al-Farabi Quartertone
|-
| [[1089/1024]]
| 107
| Alpharabian Augmented Unison, Alpharabian Chromatic Semitone
|-
| [[4096/3993]]
| 44
| Alpharabian Subminor Second, Alpharabian Paradiatonic Quartertone
|-
| [[128/121]]
| 97
| Alpharabian Minor Second, Alpharabian Diatonic Semitone
|-
| [[12/11]]
| 151
| Lesser Alpharabian Neutral Second
|-
| [[88/81]]
| 143
| Greater Alpharabian Neutral Second
|-
| [[297/256]]
| 257
| Alpharabian Supermajor Second
|-
| [[1024/891]]
| 241
| Alpharabian Subminor Third
|-
| [[144/121]]
| 301
| Alpharabian Minor Third
|-
| [[11/9]]
| 347
| Lesser Alpharabian Neutral Third
|-
| [[27/22]]
| 355
| Greater Alpharabian Neutral Third
|-
| [[121/96]]
| 401
| Alpharabian Major Third
|-
| [[2673/2048]]
| 461
| Alpharabian Supermajor Third
|-
| [[128/99]]
| 445
| Alpharabian Paraminor Fourth
|-
| [[11/8]]
| 551
| Alpharabian Paramajor Fourth, Just Paramajor Fourth
|-
| [[363/256]]
| 605
| Alpharabian Augmented Fourth
|-
| [[512/363]]
| 595
| Alpharabian Diminished Fifth
|-
| [[16/11]]
| 649
| Alpharabian Paraminor Fifth, Just Paraminor Fifth
|-
| [[99/64]]
| 755
| Alpharabian Paramajor Fifth
|-
| [[4096/2673]]
| 739
| Alpharabian Subminor Sixth
|-
| [[192/121]]
| 799
| Alpharabian Minor Sixth
|-
| [[44/27]]
| 845
| Lesser Alpharabian Neutral Sixth
|-
| [[18/11]]
| 853
| Greater Alpharabian Neutral Sixth
|-
| [[121/72]]
| 899
| Alpharabian Major Sixth
|-
| [[891/512]]
| 959
| Alpharabian Supermajor Sixth
|-
| [[512/297]]
| 943
| Alpharabian Subminor Seventh
|-
| [[81/44]]
| 1057
| Lesser Alpharabian Neutral Seventh
|-
| [[11/6]]
| 1049
| Greater Alpharabian Neutral Seventh
|-
| [[121/64]]
| 1103
| Alpharabian Major Seventh
|-
| [[3993/2048]]
| 1156
| Alpharabian Supermajor Seventh
|-
| [[2401/1089]]
| 1369
| Alpharabian Diminished Octave
|-
| [[64/33]]
| 1147
| Alpharabian Suboctave
|}
Hope that helps. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:36, 18 October 2020 (UTC)

Revision as of 19:36, 18 October 2020

exponential syntax

instead of writing 11*3/2*10 which most people will read as multiplication, use 11^3/2^10 or 11**3/2**10 or 113/210. --Xenwolf (talk) 19:15, 18 October 2020 (UTC)

Interval table

I'd say that adding interval sizes could be of use, even cent precision would do, something like this:

Ratio Cents Interval Name(s)
33/32 53 Alpharabian Superprime, Alpharabian Parachromatic Quartertone, al-Farabi Quartertone
1089/1024 107 Alpharabian Augmented Unison, Alpharabian Chromatic Semitone
4096/3993 44 Alpharabian Subminor Second, Alpharabian Paradiatonic Quartertone
128/121 97 Alpharabian Minor Second, Alpharabian Diatonic Semitone
12/11 151 Lesser Alpharabian Neutral Second
88/81 143 Greater Alpharabian Neutral Second
297/256 257 Alpharabian Supermajor Second
1024/891 241 Alpharabian Subminor Third
144/121 301 Alpharabian Minor Third
11/9 347 Lesser Alpharabian Neutral Third
27/22 355 Greater Alpharabian Neutral Third
121/96 401 Alpharabian Major Third
2673/2048 461 Alpharabian Supermajor Third
128/99 445 Alpharabian Paraminor Fourth
11/8 551 Alpharabian Paramajor Fourth, Just Paramajor Fourth
363/256 605 Alpharabian Augmented Fourth
512/363 595 Alpharabian Diminished Fifth
16/11 649 Alpharabian Paraminor Fifth, Just Paraminor Fifth
99/64 755 Alpharabian Paramajor Fifth
4096/2673 739 Alpharabian Subminor Sixth
192/121 799 Alpharabian Minor Sixth
44/27 845 Lesser Alpharabian Neutral Sixth
18/11 853 Greater Alpharabian Neutral Sixth
121/72 899 Alpharabian Major Sixth
891/512 959 Alpharabian Supermajor Sixth
512/297 943 Alpharabian Subminor Seventh
81/44 1057 Lesser Alpharabian Neutral Seventh
11/6 1049 Greater Alpharabian Neutral Seventh
121/64 1103 Alpharabian Major Seventh
3993/2048 1156 Alpharabian Supermajor Seventh
2401/1089 1369 Alpharabian Diminished Octave
64/33 1147 Alpharabian Suboctave

Hope that helps. --Xenwolf (talk) 19:36, 18 October 2020 (UTC)

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