User:Ganaram inukshuk/Notes/TAMNAMS

Revision as of 10:07, 20 November 2022 by Ganaram inukshuk (talk | contribs) (Mosdescendents for multi-period mosses: Minor clarifications to what n-wood descendents get names)

This is a subpage for TAMNAMS-related notes, containing various proposals of varying degrees of usefulness and other useful things.

Step ratio spectrum visualization

I wanted to make a table that better visualizes the step ratio ranges as described by TAMNAMS.

Central spectrum

Central spectrum of step ratios
Intermediate ranges Specific step ratios Notes
1:1 (equalized) Trivial/pathological
1:1 to 1:0 1:1 to 2:1 1:1 to 3:2 1:1 to 4:3 (ultrasoft) Step ratios especially close to 1:1 may be called pseudoequalized
4:3 (supersoft)
4:3 to 3:2 (parasoft)
3:2 (soft) Also called monosoft
3:2 to 2:1 (hyposoft) 3:2 to 5:3 (quasisoft)
5:3 (semisoft)
5:3 to 2:1 (minisoft)
2:1 (basic) Also called quintessential
2:1 to 1:0 2:1 to 3:1 (hypohard) 2:1 to 5:2 (minihard)
5:2 (semihard)
5:2 to 3:1 (quasihard)
3:1 (hard) Also called monohard
3:1 to 1:0 3:1 to 4:1 (parahard)
4:1 (superhard)
4:1 to 1:0 (ultrahard) Step ratios especially close to 1:0 may be called pseudocollapsed
1:0 (collapsed) Trivial/pathological

Extended spectrum

Extended spectrum of step ratios
Central ranges Extended ranges Specific step ratios Notes
1:1 (equalized)
1:1 to 1:0 1:1 to 2:1 1:1 to 3:2 1:1 to 4:3 (ultrasoft) 1:1 to 6:5 (pseudoequalized)
6:5 (semiequalized)
6:5 to 4:3 (ultrasoft)
4:3 (supersoft) Nonextreme range, as detailed by central spectrum
4:3 to 3:2 (parasoft) 4:3 to 3:2 (parasoft)
3:2 (soft)
3:2 to 2:1 (hyposoft) 3:2 to 5:3 (quasisoft) 3:2 to 5:3 (quasisoft)
5:3 (semisoft)
5:3 to 2:1 (minisoft) 5:3 to 2:1 (minisoft)
2:1 (basic)
2:1 to 1:0 2:1 to 3:1 (hypohard) 2:1 to 5:2 (minihard) 2:1 to 5:2 (minihard)
5:2 (semihard)
5:2 to 3:1 (quasihard) 5:2 to 3:1 (quasihard)
3:1 (hard)
3:1 to 1:0 3:1 to 4:1 (parahard) 3:1 to 4:1 (parahard)
4:1 (superhard)
4:1 to 1:0 (ultrahard) 4:1 to 10:1 (ultrahard) 4:1 to 6:1 (hyperhard)
6:1 (extrahard)
6:1 to 10:1 (clustered)
10:1 (pseudocollapsed)
10:1 to 1:0 (pseudocollapsed)
1:0 (collapsed)

Original table of extended TAMNAMS names (archived)

This is an attempt to describe various mosses that I feel are worth describing, based on experimenting with these scales or for completion. This contains unofficial scale names that try to be as close to existing names as possible and are not meant to be official or standard. The following table shows single-period mosses sorted by generation rather than note count. As of August 2022, much of this section is rendered unnecessary due to TAMNAMS names being reorganized and many scales being renamed, hence this section is kept for archival purposes.

Extended names are denoted with an asterisk. Named 1L ns (monolarge) scales are denoted using italics and are based on its sister scale with the anti- prefix added.

Mos Family Tree (single-period only), with TAMNAMS Names and extended names
Progenitor scale 1st-order child mosses 2nd-order child mosses 3rd-order child mosses 4th-order child mosses 5th-order child mosses
Steps Scale name Steps Scale name Steps Scale name Steps Scale name Steps Scale name Steps Scale name
1L 1s prototonic*

(currently monowood and trivial)

1L 2s antideuteric*

(currently antrial)

1L 3s antitetric*

(currently antetric)

1L 4s antimanic

(currently pedal)

1L 5s antimachinoid*

(currently antimachinoid)

1L 6s anti-archeotonic

(currently onyx)

6L 1s archeotonic
5L 1s machinoid 5L 6s
6L 5s
4L 1s manual

(formerly manic)

4L 5s gramitonic

(formerly orwelloid)

4L 9s
9L 4s
5L 4s semiquartal 5L 9s
9L 5s
3L 1s tetric 3L 4s mosh 3L 7s sephiroid 3L 10s
10L 3s
7L 3s dicoid

(formerly dicotonic)

7L 10s
10L 7s
4L 3s smitonic 4L 7s (formerly kleistonic) 4L 11s
11L 4s
7L 4s (formerly suprasmitonic) 7L 11s
11L 7s
2L 1s deuteric*

(currently trial)

2L 3s pentic 2L 5s antidiatonic 2L 7s balzano

(formerly joanatonic)

2L 9s
9L 2s
7L 2s superdiatonic 7L 9s
9L 7s
5L 2s diatonic 5L 7s (formerly p-chromatic) 5L 12s s-enharmonic*
12L 5s p-enharmonic*
7L 5s (formerly m-chromatic) 7L 12s f-enharmonic*
12L 7s m-enharmonic*
3L 2s antipentic 3L 5s checkertonic

(formerly sensoid)

3L 8s 3L 11s
11L 3s
8L 3s 8L 11s
11L 8s
5L 3s oneirotonic 5L 8s 5L 13s
13L 5s
8L 5s 8L 13s
13L 8

Extended mos pattern names (fewer than 5 steps, archived)

As of August 14, 2022, all of these scales have been named. These descriptions are kept for archival purposes.

Parent scale 1st-order child scales 2nd-order child scales
Steps Originally proposed name Current name Notes Steps Originally proposed name Current name Notes Steps Originally proposed name Current name Notes
1L 1s prototonic, protic, or monowood monowood and trivial The progenitor scale of all single-period mosses.

Despite being a monolarge scale, it's also its own sister and is named regardless.

The current name "monowood" comes from nL ns scales (such as pentawood for 5L 5s), and is used as a base for such scales. The name trivial comes from the fact that this is a trivial (octave-equivalent) scale, consisting of only its generators.

1L 2s antideuterotonic or antideuteric antrial One of the child scales of 1L 1s.

Being a monolarge scale, tetric (3L 1s) may be more worth considering as a parent scale.

1L 3s antitetric antetric Monolarge scale. Similarly to 3L 1s with 1L 2s, 4L 1s may be worth considering as a parent scale.
3L 1s tetric tetric Parent scale to orwelloid (now gramitonic) and semiquartal, the name tetric is assigned similarly to pentic being the parent of diatonic and antidiatonic.
2L 1s deuterotonic or deuteric trial One of the child scales of 1L 1s. 2L 3s - pentic Already established name.
3L 2s - antipentic Already established name.

Naming mosses with more than 10 steps

This is a system for describing scales beyond the set of named TAMNAMS scales. Both User:Frostburn (User:Frostburn/TAMNAMS Extension) and I have similar systems, though this is focused on naming single-period mosses up to three generations after a parent scale.

General names for mosdescendent scales

Although naming scales beyond the current cap of 10 notes is antithetical to the purpose of TAMNAMS, a general description can still be made without establishing concrete names, while using names for already named scales. The rules are described as such:

  • If the scale is the child of the parent scale, then the scale is moschromatic.
  • If the scale is the grandchild of the parent scale, then the scale is mosenharmonic.
  • If the scale is the great-grandchild of the parent scale, then the scale is mosschismic. (tentative name; schismic refers to a family of temperaments; open to better name suggestions)
  • If the scale is more than 3 generations from the parent scale, or if referring to a scale regardless of number of generations from the parent, then the scale is a mosdescendent scale.

For describing the scales of a named mos, the prefix of mos- is removed and replaced with the mos's prefix instead. For example, the child, grandchild, and great-grandchild scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively, and the entire family of mosses related to oneirotonic are oneirodescendents.

Additionally, the lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic. Descendents of 5L 2s are referred to as "diatonic descendents" rather than "descendents".

In the general case, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. Specific scales can be referred to by adding an additional prefix; the table below shows those prefixes and the step ratios (of the parent mos) for which they apply. Note that the table shows all possible mosdescendent scales up to three generations, across the entire spectrum of step ratios; specifying a step ratio to any one mos will "lock" the chain of descendents to a single line.

Mosdescendent scales sorted by step ratio
Parent scale Moschromatic (child) scales Mosenharmonic (grandchild) scales Mosschismic (great-grandchild) scales

(names not finalized)

Steps Step ratio Steps Specific name Step ratio of parent Steps Specific name Step ratio of grandparent Steps Specific name Step ratio of great-grandparent
General range Step ratio for 2:1 General range For step ratio of 2:1 General range For step ratio of 2:1 General range For step ratio of 2:1
xL ys 1:1 to 1:0 2:1 (basic) (x+y)L xs m-moschromatic 1:1 to 2:1 3:2 (soft) (x+y)L (2x+y)s f-mosenharmonic 1:1 to 3:2 4:3 (supersoft) (x+y)L (3x+2y)s f-mosschismic 1:1 to 4:3 (ultrasoft) 5:4
(3x+2y)L (x+y)s a-mosschismic 4:3 to 3:2 (parasoft) 7:5
(2x+y)L (x+y)s m-mosenharmonic 3:2 to 2:1 (hyposoft) 5:3 (semisoft) (3x+2y)L (2x+y)s u-mosschismic 3:2 to 5:3 (quasisoft) 8:5
(2x+y)L (3x+2y)s m-mosschismic 5:3 to 2:1 (minisoft) 7:4
xL (x+y)s p-moschromatic 2:1 to 1:0 3:1 (hard) (2x+y)L xs p-mosenharmonic 2:1 to 3:1 (hypohard) 5:2 (semihard) (2x+y)L (3x+y)s p-mosschismic 2:1 to 5:2 (minihard) 7:3
(3x+y)L (2x+y)s q-mosschismic 5:2 to 3:1 (quasihard) 8:3
xL (2x+y)s s-mosenharmonic 3:1 to 1:0 4:1 (superhard) (3x+y)L xs r-mosschismic 3:1 to 4:1 (parahard) 7:2
xL (3x+y)s s-mosschismic 4:1 to 1:0 (ultrahard) 5:1
Simplified table, without step ratios, sorted by position on mos family tree
Parent scale Moschromatic scales Mosenharmonic scales Mosschismic scales
Steps Steps Specific name Steps Specific name Steps Specific name
xL ys xL (x+y)s p-moschromatic xL (2x+y)s s-mosenharmonic xL (3x+y)s s-mosschismic
(3x+y)L xs r-mosschismic
(2x+y)L xs p-mosenharmonic (2x+y)L (3x+y)s p-mosschismic
(3x+y)L (2x+y)s q-mosschismic
(x+y)L xs m-moschromatic (x+y)L (2x+y)s f-mosenharmonic (x+y)L (3x+2y)s f-mosschismic
(3x+2y)L (x+y)s a-mosschismic
(2x+y)L (x+y)s m-mosenharmonic (2x+y)L (3x+2y)s m-mosschismic
(3x+2y)L (2x+y)s u-mosschismic

Mosdescendents for single-period mosses

Although it's possible for any mos to have mosdescendents named as described above, for neatness, mosdescendent scale names should apply only to mosses whose immediate child mosses exceed 10 steps. The following tables show which mosses, marked in bold, mosdescendent names can apply.

Single-period mosses for which mosdescendent names apply
Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name
1L 1s trivial 1L 2s antrial 1L 3s antetric 1L 4s pedal 1L 5s antimachinoid 1L 6s onyx 1L 7s antipine 1L 8s antisubneutralic 1L 9s antisinatonic
9L 1s sinatonic
8L 1s subneutralic
7L 1s pine
6L 1s arch(a)eotonic
5L 1s machinoid
4L 1s manual 5L 4s semiquartal
4L 5s gramitonic
3L 1s tetric 4L 3s smitonic
3L 4s mosh 7L 3s dicoid/zaltertic
3L 7s sephiroid
2L 1s trial 3L 2s antipentic 3L 5s checkertonic
5L 3s oneirotonic
2L 3s pentic 5L 2s diatonic
2L 5s antidiatonic 7L 2s superdiatonic
2L 7s balzano

Mosdescendents for multi-period mosses (in-progress)

TAMNAMS has names for 2-period mosses up to 10 notes and 3-period mosses up to 9 notes. The rules apply for the names shown in bold below.

Multi-period mosses for which mosdescendent names apply
2-period mosses 3-period mosses
Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name
2L 2s biwood 2L 4s malic 2L 6s subaric 2L 8s jaric 3L 3s triwood 3L 6s tcherepnin
8L 2s taric
6L 2s ekic
4L 2s citric 6L 4s lemonic 6L 3s hyrulic
4L 6s limic

Starting at 4L 4s (tetrawood), there are no mosses whose child mosses have no more than 10 notes, as these mosses are already at or close to the 10-note limit, and successive generations will have ever-increasing note counts. Therefore, the immediate children of n-wood scales are given names, with any descendents after that being referred to as n-wood descendents. Unlike with single-period mosses, the name patterns are n-antrial (2nL ns) and n-trial (nL 2ns). Additionally, a numeric prefix may be used instead, such as hexawood for 6-wood and heptawood for 7-wood. The table below shows possible options for names.

Mosdescendent names for n-wood scales
4-period mosses 5-period mosses n-period mosses
Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name
4L 4s tetrawood 4L 8s quadrantrial or 4-antrial (or bimalic) 5L 5s pentawood 5L 10s pentantrial or 5-antrial nL ns n-wood nL 2ns n-antrial
8L 4s quadtrial or 4-trial (or bicitric) 10L 5s pentrial or 5-trial 2nL ns n-trial

Reasoning for names (and example for 5L 2s)

The names for moschromatic scales are based on former names for the child scales for diatonic (5L 2s): p-chromatic (5L 7s) and m-chromatic (7L 5s). This was generalized to "chromatic", with the prefixes p- and m- for specificity. The names for mosenharmonic scales are based on discussions with xen Discord members for systematically naming the daughter and granddaughter scales of a mos, producing "enharmonic" with the prefixes s-, p-, f-, and m- for specificity.

This proposal initially considered grandchild scales of a mos, and the recent addition of great-grandchild scales was done for completeness. The use of "schismic" to refer to great-grandchild scales is subject to change (I'm open to better suggestions). The prefixes for mosschismic scales borrow those used for mosenharmonic scales (which itself borrows those used for moschromatic scales) and adds four additional prefixes: q- (quasihard), r- (parahard), a- (parasoft), and u- (quasisoft) (also subject to change).

Table of mosdescendent prefixes and meanings
Prefix For moschromatic scales For mosenharmonic scales For mosschismic scales Mnemonic
f- n/a F for flat; f-mosenharmonic scales have a grandparent whose pitches are flatter compared to basic (L:s = 2:1). F for flat. FAUM sounds like foam, which sounds soft.

F-, a-, u-, and m-mosschismic scales generally have a great-grandparent with a soft step ratio.

a- n/a n/a A from parasoft, as "P" is taken.
u- n/a n/a U from quasisoft, as "Q" is taken.
m- M for maybe/mellow; based on old name for 7L 5s M- and p-mosenharmonic scales have a grandparent whose step ratio is close to the "midpoint" of L:s = 2:1. M and P for midpoint.
p- P for pure/sharp; based on old name for 5L 7s PQRS are four consecutive letters in the alphabet. It's hard to pronounce because there are no vowels.

P-, q-, r-, and s-mosschismic scales generally have a great-grandparent with a hard step ratio.

q- n/a n/a Q and R are the only two letters between P and S. Q may stand for quasihard.
r- n/a n/a Q and R are the only two letters between P and S. R may stand for parahard.
s- n/a S for sharp; s-mosenharmonic scales have a grandparent whose pitches are sharper compared to basic (L:s = 2:1). "S" for sharp.
Names for descendent scales of 5L 2s, sorted by step ratio (softest to hardest)
Diatonic scale Chromatic scales Enharmonic scales Schismic scales
Steps Name Steps Name Steps Name Steps Name
5L 2s diatonic 7L 5s m-chromatic 7L 12s f-enharmonic 7L 19s f-schismic
19L 7s a-schismic
12L 7s m-enharmonic 19L 12s u-schismic
12L 19s m-schismic
5L 7s p-chromatic 12L 5s p-enharmonic 12L 17s p-schismic
17L 12s q-schismic
5L 12s s-enharmonic 17L 5s r-schismic
5L 17s s-schismic

Naming mos modes

Current proposal, with amendment for emphasis on dark generator

There is currently a proposed system for naming mos modes as follows: xL ys u|, where x is the number of large steps, y is the number of small steps, u corresponds to the the mode's UDP (the u in u|d), and | is pronounced as "pipe". As an example, the modes of 4L 1s (manual) can be named as the following:

Modes of manual (4L 1s)
Mode UDP TAMNAMS name
LLLLs 4|0 4L 1s 4|
LLLsL 3|1 4L 1s 3|
LLsLL 2|2 4L 1s 2|
LsLLL 1|3 4L 1s 1|
sLLLL 0|4 4L 1s 0|

In situations where it's more intuitive to think in terms of the dark generator instead of the bright generator, the format is instead xL ys |d, where d corresponds to the mode's UDP (the d in u|d). An example of this can be seen in the classic pentatonic scale (2L 3s), where even though the bright generator corresponds to diatonic's perfect 4th (which is actually diatonic's dark generator), it's common to think of these modes in terms of diatonic's bright generator (even though it's the dark generator of 2L 3s). This is because the bright and dark generators "flip" between 2L 3s to 5L 2s. (In general, generators flip when a mos xL ys has a child of (x+y)L xs, but don't flip if the child is xL (x+y)s, and in general, looking at modes in terms of the dark generator reverses the order of modes compared with the bright generator.)

Modes of pentic (2L 3s)
Mode UDP TAMNAMS name
sLsLL 0|4 2L 3s |4
sLLsL 1|3 2L 3s |3
LsLsL 2|2 2L 3s |2
LsLLs 3|1 2L 3s |1
LLsLs 4|0 2L 3s |0

Mode names based on mosnames

If a more memorable name is desired but there are no assigned names for the mos's modes, interim names can be made using genchain mode numbering on the name of the mos, where the first-brightest mode is called 1st mosname, the second-brightest mode is called 2nd mosname, and so on. Note that these names can only be made if there is a TAMNAMS name for a mos. Excluding current proposals to extend TAMNAMS names beyond the 10-note limit, this means most mos mode names will typically be formatted as xL ys u|.

Modes of pine (7L 1s)
Mode UDP Mode name
LLLLLLLs 7|0 1st pine
LLLLLLsL 6|1 2nd pine
LLLLLsLL 5|2 3rd pine
LLLLsLLL 4|3 4th pine
LLLsLLLL 3|4 5th pine
LLsLLLLL 2|5 6th pine
LsLLLLLL 1|6 7th pine
sLLLLLLL 0|7 8th pine
Modes of tcherepnin (3L 6s)
Mode UDP Mode name
LssLssLss 6|0(3) 1st tcherepnin
sLssLssLs 3|3(3) 2nd tcherepnin
ssLssLssL 0|6(3) 3rd tcherepnin

Suggested changes for mos pattern names

This section describes changes to existing TAMNAMS names that I would make. Reasons:

  • There were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix and the scales antidiatonic and superdiatonic.
  • Some names are still based on a temperament (mainly the -oid names), so those are either replaced with a new name or at least altered so the references are more indirect.
  • Some names are too long (in my opinion).

The choice of names are not perfect and some may have issues. Some names have multiple suggestions. This section is meant to start a discussion on alternate names.

Mos Current name Suggested name(s) Reasoning Possible issues
Name Prefix Abbrev. Name Prefix Abbrev.
1L 5s antimachinoid amech- amech selenic sel- sel An indirect reference to luna temperament; "selene" is Greek for "moon". This drops the anti- prefix.
anmechic or amechic unchanged unchanged Original name, but shortened and slightly modified, following the same reasoning for replacing "machinoid" with "mechatonic". Preserves meaning of the anti-/an- prefix. Still references machine temperament.
5L 1s machinoid mech- mech mechatonic unchagned unchagned A more indirect reference to machine temperament. Still references machine temperament.
2L 5s antidiatonic pel- pel pelotonic unchagned unchagned From "pelog" and "armodue". The proposed names are to make both scales more distinct from diatonic. This drops the anti- and super- prefixes. The connection to diatonic may be beneficial to some musicians. Additionally, the mode names commonly used for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added.

New names reference pelog tuning and armodue theory.

7L 2s superdiatonic arm- arm armotonic unchagned unchagned
1L 7s antipine apine- apine stelanic stel- stel A reference to how 1L 7s is "somewhat of a wasteland as far as low-harmonic-entropy scales are concerned". This drops the anti- prefix.
alpine alp- or unchanged alp or unchanged Looks like "anpine" (a shortened form of "antipine", following the logic of the "an-" prefix), but accidentally corrected into "alpine". Somewhat preserves meaning of the anti-/an- prefix. Pun.
1L 8s antisubneutralic ablu- ablu mineric /mɪnˈeɹɪk/ mine- (with a silent e) minc A portmanteau of miracle and negri temperaments. Shorter name. This drops the anti- prefix. References two different temperaments.
8L 1s subneutralic blu- blu azurtonic azu- or unchanged azu or unchanged An indirect reference to bleu temperament; azure is a specific shade of blue. Simplified name. The sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how subaric (2L 6s) is the parent to both jaric (2L 8s) and taric (8L 2s). New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way.
1L 9s antisinatonic asina- asi alentic alen- alen An indirect reference to valentine temperament. This drops the anti- prefix. Coincidentally the name of a company.
parivalic par- pariv A portmanteau of passion, ripple, and valentine. Shorter name. References three different temperaments.
ansinaic unchanged unchanged Original name, but shortened. Preserves meaning of the anti-/an- prefix.
3L 7s sephiroid seph- seph septonic sept- or unchanged sept or unchanged The reference to sephiroth is made even more indirect. As a bonus, "sept" (meaning seven) may also refer to the 7 small steps of the mos pattern. May falsely suggest the scale is 7 notes, when it's actually 10 notes.
7L 3s dicoid and zaltertic dico- and zal- dico and zal zaltertic zal- zal As of writing, there are two names. I would favor zaltertic over dicoid in that it removes a name that suggests a temperament.

Other aesthetic name changes (work-in-progress)

These are additional changes that I feel are less likely to be implemented, but made to convey additional meaning through a name's suffixes; if anything, these changes are merely for the aesthetic. These changes are built upon proposed name changes from the previous section.

Rules for mos names (single-period only)
Rule Names affected Exceptions
All mosses with 5 steps or fewer end with -al.
  • antetric -> antetral
  • tetric -> tetral
  • monowood (referring to 1L 1s with an octave period)
  • pentic and antipentic (pentic is a shortened form of "pentatonic")
All other mosses not of the form 1L ns end with -toinc, excluding those named under the previous rules.
  • machinoid -> mechatonic
  • antidiatonic and superdiatonic -> pelotonic and armotonic
  • sephiroid -> septonic
  • subneutralic -> azurtonic
The following names are too memorable to change:
  • mosh
  • semiquartal
  • zaltertic
  • balzano
  • pine
All mosses of the form 1L ns mosses end with -ic, excluding those named under the previous rule.

Alternate rule: All mosses of the form nL 1s, of the form (stem)-tonic, have a sister mos 1L ns of the form an-(stem)-ic.

  • antimachinoid -> selenic
  • antipne -> stelanic
  • antisubneutralic -> mineric
  • antisinatonic -> alentic
onyx (almost sounds like on-ic)
Table of (single-period) mosses with all proposed name changes
Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name Mos Name
1L 1s trivial 1L 2s antrial 1L 3s antetral 1L 4s pedal 1L 5s selenic 1L 6s onyx 1L 7s stelanic 1L 8s mineric 1L 9s alentic
9L 1s sinatonic
8L 1s azurtonic
7L 1s pine
6L 1s arch(a)eotonic
5L 1s mechatonic
4L 1s manual 5L 4s semiquartal
4L 5s gramitonic
3L 1s tetral 4L 3s smitonic
3L 4s mosh 7L 3s zaltertic
3L 7s septonic
2L 1s trial 3L 2s antipentic 3L 5s checkertonic
5L 3s oneirotonic
2L 3s pentic 5L 2s diatonic
2L 5s pelotonic 7L 2s armotonic
2L 7s balzano