User:Eufalesio/Good scales

Here's a data dump of scales I use. Some of them with funny names because they are in conlangs. I will provide the scales and all their modes, apart from other properties. Note however that for chiral scales I am NOT pairing them up. The first mode of a scale is one that I deem the most useful to me. This is why chiral scales are all messed up in order.

5-form

Zontatonic

A clipping of "zo pentatonic". RH has a more otonal flavor, but I'd say I use both with some gusto.

LH					RH
Scale degrees					Scale degrees
7/6	21/16	3/2	7/4	2	9/8	21/16	3/2	7/4	2
9/8	9/7	3/2	12/7		7/6	4/3	14/9	16/9
8/7	4/3	32/21	16/9		8/7	4/3	32/21	12/7
7/6	4/3	14/9	7/4		7/6	4/3	3/2	7/4
8/7	4/3	3/2	12/7		8/7	9/7	3/2	12/7

7-form

Zarlino [SV3, CS, SP]

Best Zarlino. I interchange often between the minor of LH and the major of the RH. I suppose, this includes Nicepent but I don't use the Nicepent as much.

LH							RH
Scale degrees							Scale degrees
9/8	6/5	4/3	3/2	8/5	9/5	2	9/8	5/4	4/3	3/2	5/3	15/8	2
16/15	32/27	4/3	64/45	8/5	16/9		10/9	32/27	4/3	40/27	5/3	16/9
10/9	5/4	4/3	3/2	5/3	15/8		16/15	6/5	4/3	3/2	8/5	9/5
9/8	6/5	27/20	3/2	27/16	9/5		9/8	5/4	45/32	3/2	27/16	15/8
16/15	6/5	4/3	3/2	8/5	16/9		10/9	5/4	4/3	3/2	5/3	16/9
9/8	5/4	45/32	3/2	5/3	15/8		9/8	6/5	27/20	3/2	8/5	9/5
10/9	5/4	4/3	40/27	5/3	16/9		16/15	6/5	4/3	64/45	8/5	16/9

Aura's Zarlinoid [MV4, CS, SP]

A scale that Aura really likes to use. It's good in some places, but Zarlino is better generally.

Scale degrees
9/8	5/4	4/3	3/2	27/16	15/8	2
10/9	32/27	4/3	3/2	5/3	16/9
16/15	6/5	27/20	3/2	8/5	9/5
9/8	81/64	45/32	3/2	27/16	15/8
9/8	5/4	4/3	3/2	5/3	16/9
10/9	32/27	4/3	40/27	128/81	16/9
16/15	6/5	4/3	64/45	8/5	9/5

Archylino [SV3, CS]

An interesting scale in its own right. Both LH and RH are solid options, with LH having a more marked otonal flavor on the prime. It's also the scale with the smallest step I am certain to use melodically, 28/27.

LH							RH
Scale degrees							Scale degrees
9/8	7/6	21/16	3/2	14/9	7/4	2	9/8	7/6	4/3	3/2	14/9	7/4	2
28/27	7/6	4/3	112/81	14/9	16/9		28/27	32/27	4/3	112/81	14/9	16/9
9/8	9/7	4/3	3/2	12/7	27/14		8/7	9/7	4/3	3/2	12/7	27/14
8/7	32/27	4/3	32/21	12/7	16/9		9/8	7/6	21/16	3/2	27/16	7/4
28/27	7/6	4/3	3/2	14/9	7/4		28/27	7/6	4/3	3/2	14/9	16/9
9/8	9/7	81/56	3/2	27/16	27/14		9/8	9/7	81/56	3/2	12/7	27/14
8/7	9/7	4/3	3/2	12/7	16/9		8/7	9/7	4/3	32/21	12/7	16/9

Úuñmulu - Íegmul [MV3, CS, SP]

The simples 7et detempers that are easy to use and have delectable sonorities, based on the 10::12 trichord and 9::12 tetrachord respectively. I prefer LH but RH has its uses.

LH							RH
Scale degrees							Scale degrees
11/10	6/5	4/3	3/2	33/20	9/5	2	10/9	11/9	4/3	3/2	5/3	11/6	2
12/11	40/33	15/11	3/2	18/11	20/11		11/10	6/5	27/20	3/2	33/20	9/5
10/9	5/4	11/8	3/2	5/3	11/6		12/11	27/22	15/11	3/2	18/11	20/11
9/8	99/80	27/20	3/2	33/20	9/5		9/8	5/4	11/8	3/2	5/3	11/6
11/10	6/5	4/3	22/15	8/5	16/9		10/9	11/9	4/3	40/27	44/27	16/9
12/11	40/33	4/3	16/11	160/99	20/11		11/10	6/5	4/3	22/15	8/5	9/5
10/9	11/9	4/3	40/27	5/3	11/6		12/11	40/33	4/3	16/11	18/11	20/11

Jyüüp'hi - Ghyef - The Skirmish [MV3, CS, SP]

One of my favorite non-harmonic-segmental scales. It's so cold. This time, it's my favorite rendition of a mosh-like scale. This is a generator-stacking scale. Combining this with minor Zarlinos yields incredibly powerful results.

There is also the version with 11/9, 44/27 and 11/6 but that one is less good so I am not listing it here.

Scale degrees
9/8	39/32	4/3	3/2	13/8	117/64	2
13/12	32/27	4/3	13/9	13/8	16/9
128/117	16/13	4/3	3/2	64/39	24/13
9/8	39/32	351/256	3/2	27/16	117/64
13/12	39/32	4/3	3/2	13/8	16/9
9/8	16/13	18/13	3/2	64/39	24/13
128/117	16/13	4/3	512/351	64/39	16/9

10-form

Ngwóoghe - Góqäi [MV5 (MV10), CS, SP]

24:26:28:30:32:34:36:39:42:45:48. 12::18 repeated and cut at the octave, or alternatively, two 12::16 pentachords, with another a fifth up and with the addition of 17/12 to fill out the scale into a proper 10-form. I personally don't use the 17/ intervals as much, instead I change between the modes to pick what I need, but 17 is undoubtedly the most natural rendition of the 5-step of the scale.

One of my favorite scales, and it is notably no-11s. Its subsets also include archylino, a weird Hijaz-like scale and zontatonic

Scale degrees
13/12	7/6	5/4	4/3	17/12	3/2	13/8	7/4	15/8	2
14/13	15/13	16/13	17/13	18/13	3/2	21/13	45/26	24/13
15/14	8/7	17/14	9/7	39/28	3/2	45/28	12/7	13/7
16/15	17/15	6/5	13/10	7/5	3/2	8/5	26/15	28/15
17/16	9/8	39/32	21/16	45/32	3/2	13/8	7/4	15/8
18/17	39/34	21/17	45/34	24/17	26/17	28/17	30/17	32/17
13/12	7/6	5/4	4/3	13/9	14/9	5/3	16/9	17/9
14/13	15/13	16/13	4/3	56/39	20/13	64/39	68/39	24/13
15/14	8/7	26/21	4/3	10/7	32/21	34/21	12/7	13/7
16/15	52/45	56/45	4/3	64/45	68/45	8/5	26/15	28/15

12-form

The Spine [MOS, SP]

Pyth 5L 7s 6|5. This is an extremely important scale, not because I use this directly in my music, but because it serves as the fundamental scale to build the chain of fifths. Unlike the rest of scales, I only use this mode, and no others. No modal interchange, no alterations outside the modal framework... no.

The reason to use this mode and no others is that it provides an easy set of dodecatonic nominals to alter outwards from, also the numerically simplest mode of p-chromatic. Despite how bad it may seem to have a spine that is not symmetric across the octave, working with a MOS is wayyy better than whatever amalgamation I'd end up with were I to have √2 stuck in the middle.

Besides, this is the only scale for which I have proper, fully standardized names. You know them well: Unison, Minor second (or Limma), Major second (or Tone), Minor third, Major third, Perfect fourth, Tritone, Perfect Fifth, Minor sixth, Major Sixth, Minor seventh, Major seventh, Octave. Which Tritone? The big one. The one that's three stacked tones, for real.

Scale degrees
256/243	9/8	32/27	81/64	4/3	729/512	3/2	128/81	27/16	16/9	15/8	2

Duodene [MV4, CS, SP]

Scale degrees
16/15	9/8	6/5	5/4	4/3	45/32	3/2	8/5	5/3	9/5	15/8	2
135/128	9/8	75/64	5/4	675/512	45/32	3/2	25/16	27/16	225/128	15/8
16/15	10/9	32/27	5/4	4/3	64/45	40/27	8/5	5/3	16/9	256/135
25/24	10/9	75/64	5/4	4/3	25/18	3/2	25/16	5/3	16/9	15/8
16/15	9/8	6/5	32/25	4/3	36/25	3/2	8/5	128/75	9/5	48/25
135/128	9/8	6/5	5/4	27/20	45/32	3/2	8/5	27/16	9/5	15/8
16/15	256/225	32/27	32/25	4/3	64/45	1024/675	8/5	128/75	16/9	256/135
16/15	10/9	6/5	5/4	4/3	64/45	3/2	8/5	5/3	16/9	15/8
25/24	9/8	75/64	5/4	4/3	45/32	3/2	25/16	5/3	225/128	15/8
27/25	9/8	6/5	32/25	27/20	36/25	3/2	8/5	27/16	9/5	48/25
25/24	10/9	32/27	5/4	4/3	25/18	40/27	25/16	5/3	16/9	50/27
16/15	256/225	6/5	32/25	4/3	64/45	3/2	8/5	128/75	16/9	48/25

Nelaá - Jälg [MV4, CS, SP]

Scale degrees
16/15	9/8	6/5	5/4	4/3	45/32	3/2	8/5	27/16	9/5	15/8	2
135/128	9/8	75/64	5/4	675/512	45/32	3/2	405/256	27/16	225/128	15/8
16/15	10/9	32/27	5/4	4/3	64/45	3/2	8/5	5/3	16/9	256/135
25/24	10/9	75/64	5/4	4/3	45/32	3/2	25/16	5/3	16/9	15/8
16/15	9/8	6/5	32/25	27/20	36/25	3/2	8/5	128/75	9/5	48/25
135/128	9/8	6/5	81/64	27/20	45/32	3/2	8/5	27/16	9/5	15/8
16/15	256/225	6/5	32/25	4/3	64/45	1024/675	8/5	128/75	16/9	256/135
16/15	9/8	6/5	5/4	4/3	64/45	3/2	8/5	5/3	16/9	15/8
135/128	9/8	75/64	5/4	4/3	45/32	3/2	25/16	5/3	225/128	15/8
16/15	10/9	32/27	512/405	4/3	64/45	40/27	128/81	5/3	16/9	256/135
25/24	10/9	32/27	5/4	4/3	25/18	40/27	25/16	5/3	16/9	15/8
16/15	256/225	6/5	32/25	4/3	64/45	3/2	8/5	128/75	9/5	48/25

Carlos Harmonic [MV12, CS]

19-limit realized into an easy 12-note scale, and a very easy way to approach the 19-limit, in only one key. With modal interchange, you can basically play in 19-limit JI with big wide steps, so no quartertones or things like that. Most you'll get is 27/16!

This is still the base scale of what I call the "fudge workflow", when you want and can do JI stuff but you must play within the limitations of 12 keys per octave. I found that moving the fundamental of the scale along 48edo is good enough. Why move the fundamental of the scale along 48edo? Because that way you have the harmonic scale along all 48edo notes, which includes the 12edo chain of fifths, 25c steps close to 81/80 and 64/63, and 50c steps close to 33/32 and 1053/1024.

Scale degrees
17/16	9/8	19/16	5/4	21/16	11/8	3/2	13/8	27/16	7/4	15/8	2
18/17	19/17	20/17	21/17	22/17	24/17	26/17	27/17	28/17	30/17	32/17
19/18	10/9	7/6	11/9	4/3	13/9	3/2	14/9	5/3	16/9	17/9
20/19	21/19	22/19	24/19	26/19	27/19	28/19	30/19	32/19	34/19	36/19
21/20	11/10	6/5	13/10	27/20	7/5	3/2	8/5	17/10	9/5	19/10
22/21	8/7	26/21	9/7	4/3	10/7	32/21	34/21	12/7	38/21	40/21
12/11	13/11	27/22	14/11	15/11	16/11	17/11	18/11	19/11	20/11	21/11
13/12	9/8	7/6	5/4	4/3	17/12	3/2	19/12	5/3	7/4	11/6
27/26	14/13	15/13	16/13	17/13	18/13	19/13	20/13	21/13	22/13	24/13
28/27	10/9	32/27	34/27	4/3	38/27	40/27	14/9	44/27	16/9	52/27
15/14	8/7	17/14	9/7	19/14	10/7	3/2	11/7	12/7	13/7	27/14
16/15	17/15	6/5	19/15	4/3	7/5	22/15	8/5	26/15	9/5	28/15