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

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Interval table: new section
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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)
: Thanks!  I'm in the process of correcting stuff to make the system more consistent right now, so I'll get to this in a bit. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:40, 18 October 2020 (UTC)


== Interval table ==
== Interval table ==
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Hope that helps. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:36, 18 October 2020 (UTC)
Hope that helps. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:36, 18 October 2020 (UTC)
: While one one hand, it does help, on the other hand, the need to fix the consistency issues with names is a factor at play right now.  Furthermore, I have discovered that there are more intervals that need to be added to the list. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:40, 18 October 2020 (UTC)

Revision as of 19:40, 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)

Thanks! I'm in the process of correcting stuff to make the system more consistent right now, so I'll get to this in a bit. --Aura (talk) 19:40, 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)

While one one hand, it does help, on the other hand, the need to fix the consistency issues with names is a factor at play right now. Furthermore, I have discovered that there are more intervals that need to be added to the list. --Aura (talk) 19:40, 18 October 2020 (UTC)