User:Ganaram inukshuk/Notes/TAMNAMS
This is a subpage for TAMNAMS-related notes.
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 | ||||||||
| Range | Name | Range | Name | Range | Name | Range | Name | Ratio | Name | |
| 1:1 | equalized | Trivial/pathological | ||||||||
| 1:1 to 1:0 | n/a | 1:1 to 2:1 | n/a | 1:1 to 3:2 | n/a | 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 | n/a | 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 | n/a | 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 (general soft range) | 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 (general hard range) | 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
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.
| CollapseMos 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. | ||||||||
Extended mos pattern names (greater 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 mine is focused on naming single-period mosses as far as three generations after a parent scale.
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 descendent scale is the child of the parent scale, then the scales are collectively referred to as moschromatic scales.
- If the descendent scale is the grandchild of the parent scale, then the scales are collectively referred to as mosenharmonic scales.
- If the descendent scale is the great-grandchild of the parent scale, then the scales are collectively referred to as mosschismic scales. (tentative name; schismic refers to a family of temperaments; open to better name suggestions)
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 descendent scales for the mos 5L 3s (oneirotonic, prefix oneiro-) are oneirochromatic, oneiroenharmonic, and oneiroschismic respectively. The lack of a prefix will specifically describe the descendent scales of 5L 2s: chromatic, enharmonic, and schismic.
Specific scales can be referred to by adding an additional prefix. The table below shows those prefixes and the step ratios for which they apply.
| Parent scale | Moschromatic scales | Mosenharmonic scales | Mosschismic scales (names not finalized) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Steps | Step ratio range
(hardest to softest) |
Basic step ratio | Steps | Specific name
(with prefix) |
Step ratio range
(hardest to softest) |
Basic step ratio
(relative to parent) |
Steps | Specific name
(with prefix) |
Step ratio range
(hardest to softest) |
Basic step ratio
(relative to parent) |
Steps | Specific name
(with prefix) |
Step ratio range
(hardest to softest) |
Basic step ratio
(relative to parent) |
| xL ys | 1:0 to 1:1 | 2:1
(basic) |
xL (x+y)s | p-moschromatic | 1:0 to 2:1
(general hard range) |
3:1
(hard) |
xL (2x+y)s | s-mosenharmonic | 1:0 to 3:1 | 4:1
(superhard) |
xL (3x+y)s | s-mosschismic | 1:0 to 4:1
(ultrahard) |
5:1 |
| (3x+y)L xs | r-mosschismic | 4:1 to 3:1
(parahard) |
7:2 | |||||||||||
| (2x+y)L xs | p-mosenharmonic | 3:1 to 2:1
(hypohard) |
5:2
(semihard) |
(3x+y)L (2x+y)s | q-mosschismic | 3:1 to 5:2
(quasihard) |
8:3 | |||||||
| (2x+y)L (3x+y)s | p-mosschismic | 5:2 to 2:1
(minihard) |
7:3 | |||||||||||
| (x+y)L xs | m-moschromatic | 2:1 to 1:1
(general soft range) |
3:2
(soft) |
(2x+y)L (x+y)s | m-mosenharmonic | 2:1 to 3:2
(hyposoft) |
5:3
(semisoft) |
(2x+y)L (3x+2y)s | m-mosschismic | 2:1 to 5:3
(minisoft) |
7:4 | |||
| (3x+2y)L (2x+y)s | u-mosschismic | 5:3 to 3:2
(quasisoft) |
8:5 | |||||||||||
| (x+y)L (2x+y)s | f-mosenharmonic | 3:2 to 1:1 | 4:3
(supersoft) |
(3x+2y)L (x+y)s | a-mosschismic | 3:2 to 4:3
(parasoft) |
7:5 | |||||||
| (x+y)L (3x+2y)s | f-mosschismic | 4:3 to 1:1
(ultrasoft) |
5:4 | |||||||||||
| 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 | |||||
Example: 5L 2s
| Parent scale | 1st-order child scales | 2nd-order child scales | ||||||
|---|---|---|---|---|---|---|---|---|
| Steps | Name | Notes | Steps | Name | Notes | Steps | Name | Notes |
| 5L 2s | diatonic | Already established name. | 5L 7s | p-chromatic | Names are based on former names of these mosses: p-chromatic and m-chromatic.
If the distinction between p- and m- isn't needed, both scales may collectively be referred to as "chromatic". |
5L 12s | s-enharmonic | Names are based on discussions with xen discord members on attempting to name daughter and granddaughter scales in a systematic way.
If the distinction between s-, p-, f-, and m- isn't needed, all four scales may collectively be referred to as "enharmonic". |
| 12L 5s | p-enharmonic | |||||||
| 7L 5s | m-chromatic | 7L 12s | f-enharmonic | |||||
| 12L 7s | m-enharmonic | |||||||
Suggested changes for mos pattern names
This section describes changes to existing TAMNAMS names that I would make. (I made this list because there were Discord users with whom I shared a similar sentiment regarding the names of certain scales, mainly the mosses with the anti- prefix.)
| Mos | Current name | Proposed name | Reasoning | Possible issues |
|---|---|---|---|---|
| 1L 5s | antimachinoid | selenic | An indirect reference to luna temperament; "selene" is Greek for "moon". This drops the anti- prefix. | |
| 2L 5s | antidiatonic | pelic | 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 for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added. |
| 7L 2s | superdiatonic | armic | ||
| 1L 7s | antipine | astelic, astelanic, or stelanic | 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. | "Astelic" is coincidentally the name of a YouTuber. The other names avoid this issue. |
| conic | A pun on pinecones (porcupine and pinecone). This drops the anti- prefix. | Pun. | ||
| 1L 8s | antisubneutralic | mineric | A portmanteau of miracle and negri temperaments. Shorter name. This drops the anti- prefix. | |
| 1L 9s | antisinatonic | alentic | An indirect reference to valentine temperament. This drops the anti- prefix. | Coincidentally the name of a company. |
| pydecic | An indirect reference to "happy decatonic", a name from Graham Breed's naming system. This drops the anti- prefix | The "py" may falsely suggest a connection with Pythagorean tuning. |