User talk:Aura/Aura's Ideas on Tonality

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)

table syntax and column alignment

Table heading cells are marked with an exclamation mark at the beginning of the line, there's no need for an additional pipe char if there are no class or style attributes. Column alignment is done by adding more classes after wikitable, separated by spaces. Numbers with a fixed amount of decimals (2nd column) should be right-aligned (right-2). Ratios (1st column) look best if center-aligned (center-1).

Therefore I suggest to replace

{| class="wikitable"
|-
!| Interval
!| Cents
!| Names
|-

by this

{| class="wikitable center-1 right-2"
|-
! Interval
! Cents
! Names
|-

And finally let me add that a 6-decimal doesn't add anything if the minimal differences is more than 2 cents. It's only harder to separate significant information from the insignificant one when reading, IOW the excessive precision just adds noise here:

Interval	Cents	Names
1331/1296	46.133824	Alpharabian Superprime
33/32	53.272943	Alpharabian Parasuperprime, Alpharabian Parachromatic Quartertone, al-Farabi Quartertone
1089/1024	106.545886	Alpharabian Augmented Unison, Alpharabian Chromatic Semitone
8192/8019	36.952052	Alpharabian Parasubminor Second
4096/3993	44.091172	Alpharabian Subminor Second, Alpharabian Paradiatonic Quartertone
128/121	97.364115	Alpharabian Minor Second, Alpharabian Diatonic Semitone
88/81	143.497938	Lesser Alpharabian Neutral Second
12/11	150.637059	Greater Alpharabian Neutral Second
1331/1152	250.043825	Alpharabian Supermajor Second
297/256	257.182945	Alpharabian Parasupermajor Second
1024/891	240.862054	Alpharabian Parasubminor Third
1536/1331	248.001174	Alpharabian Subminor Third
144/121	301.274117	Alpharabian Minor Third
11/9	347.407941	Lesser Alpharabian Neutral Third
27/22	354.547060	Greater Alpharabian Neutral Third
121/96	400.680884	Alpharabian Major Third
1331/1024	453.953827	Alpharabian Supermajor Third
2673/2048	461.092947	Alpharabian Parasupermajor Third
128/99	444.772056	Alpharabian Paraminor Fourth
11/8	551.317942	Alpharabian Paramajor Fourth, Just Paramajor Fourth
363/256	604.590886	Alpharabian Augmented Fourth
512/363	595.409114	Alpharabian Diminished Fifth
16/11	648.682058	Alpharabian Paraminor Fifth, Just Paraminor Fifth
99/64	755.227944	Alpharabian Paramajor Fifth
4096/2673	738.907053	Alpharabian Parasubminor Sixth
2048/1331	746.046173	Alpharabian Subminor Sixth
192/121	799.319116	Alpharabian Minor Sixth
44/27	845.452940	Lesser Alpharabian Neutral Sixth
18/11	852.592059	Greater Alpharabian Neutral Sixth
121/72	898.725883	Alpharabian Major Sixth
1331/768	951.998826	Alpharabian Supermajor Sixth
891/512	959.137946	Alpharabian Parasupermajor Sixth
512/297	942.817055	Alpharabian Parasubminor Seventh
2304/1331	949.956175	Alpharabian Subminor Seventh
11/6	1,049.362941	Lesser Alpharabian Neutral Seventh
81/44	1,056.502061	Greater Alpharabian Neutral Seventh
121/64	1,102.635885	Alpharabian Major Seventh
3993/2048	1,155.908828	Alpharabian Supermajor Seventh
8019/4096	1,163.047948	Alpharabian Parasupermajor Seventh
2048/1089	1,093.454114	Alpharabian Diminished Octave
64/33	1,146.727057	Alpharabian Parasuboctave
2592/1331	1,153.866176	Alpharabian Suboctave

Hope that helps. --Xenwolf (talk) 06:06, 19 October 2020 (UTC)

On one level, it does, and for that I thank you. However, when it comes to the precision in terms of cents, the precision in cent size is meant to be compatible with that found on the Gallery of just intervals page. That way, assuming there are no more errors in the table, you can take the info out of here and place it in the table on the Gallery of just intervals page. --Aura (talk) 06:27, 19 October 2020 (UTC)