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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | [[Porcupine]] is a temperament splitting 4/3 into three equal parts representing 10/9 and 27/25, so that two steps represent 6/5. This results in a slightly flat 4/3 and a slightly sharp 6/5, meaning that 5/4 is accurately tuned. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | __TOC__ |
| : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-18 15:33:18 UTC</tt>.<br>
| | == Porcupine scales == |
| : The original revision id was <tt>353742054</tt>.<br>
| | {{Todo|rework|inline=1|text=Explain in a non-MOS-centric way}} |
| : The revision comment was: <tt></tt><br>
| | Porcupine is one of the few reasonably good 5-limit temperaments, alongside [[meantone]], which possesses a 7-note MOS scale ("porcupine[7]" or "onyx") that is well-supplied with 5-limit major and minor triads (specifically, it has two of each of them). What is perhaps more significant about it is how naturally it extends those triads to involve the 11th harmonic; for instance, the first five consecutive notes of the Lssssss mode approximate the consecutive harmonics 8:9:10:11:12. This makes it a prime candidate for using extended JI-style harmonies in a compact and intuitive scale structure. |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
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| =Intro To Porcupine=
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| We need an intro
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| =Brief Intro to Modal Harmony and MODMOS's=
| | It is also significant because it is supported by both [[15edo]] and [[22edo]], the smallest ETs which improve on the 11-limit damage of [[12edo]] (other than [[19edo]]). In those edos, porcupine is an excellent candidate for providing a 7-nominal notational basis and 7-interval-class categorical framework. This is important, because if you want to use 15edo (or to a lesser extent, 22edo) in a somewhat "heptatonic" fashion, where 5/4 and 6/5 are types of "thirds", 3/2 is a type of "fifth," and 5-limit major and minor triads share the same "{{nowrap|{{dash|1, 3, 5}}}}" triad shape, thinking of those ETs in terms of porcupine temperament is, in a certain sense, the natural approach. This most transparently leads to notation systems based upon porcupine[7], but 15edo and 22edo also contain a [[zarlino]] scale which can be naturally interpreted as a porcupine scale (what this means for zarlino is that the three sizes of step are equidistant). In fact, *any* heptatonic scale in [[15edo]] or [[22edo]] can be viewed as a [[MODMOS]] of porcupine[7]. |
| We should have a brief intro to all that
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| =Reasons Why Porcupine Will Make for The Best Modal Harmony Ever= | | In summary: |
| Just summarize everything on Andrew H's page here
| | # Porcupine is the simplest 5-limit temperament that has less [[Tenney–Euclidean temperament measures#TE_error|tuning error]] than 12edo which 12edo does not support. |
| | # In a [http://x31eq.com/pyscript/pregular.html?limit=5&error=5.0 temperament search] of 5-limit temperaments, using the standard search parameter of 5{{cent}} of error, porcupine is the first temperament in the results that is not supported by 12. |
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| =Porcupine[7] and its MODMOS's=
| | Porcupine remains the "best" such temperament in the 5-limit even if the maximum error is relaxed somewhat. While [[mavila]] eventually supersedes it due to being simpler, mavila's accuracy is much lower as its fifths are extremely flat ({{nowrap|{{dash|670, 680{{c}}}}}}). |
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| The below mode names are given in [[Modal UDP Notation|UDP notation]]. For porcupine[7], the chroma-aligned generator is the 9/5, or the 11/6 if you prefer. All generators below refer to this generator, NOT the 10/9 one. For an explanation of the spellings, see [[Porcupine Notation]].
| | == Brief intro to modal harmony and MODMOSes == |
| | Porcupine is a temperament completely capable of diverse harmony. Its MOS and its MODMOS scales (including zarlino) allow for some very diverse chordal movement that will still be tonally solid. |
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| ==**The Porcupine[7] MOS**==
| | Because the generator of porcupine is simultaneously 10/9, 11/10, and 12/11, a chord made up of consecutive generators approximates 9:10:11:12; since -6 generators approximates 9/8, the chord 8:9:10:11:12 can be approximated by a series of consecutive 2nds in porcupine[7]. Varying subsets of 8:9:10:11:12 provide fruitful ground for building harmonic movement in porcupine. |
| ||= Step Pattern (in 22edo) ||= UDP Name || Spelling || Triad Qualities ||= Other Notes ||
| | Additionally, chords of stacked sevenths of varying sizes may be used to improve voice leading and add variety. Chords without a 'fifth' are recommended for use on the root for modes without a 3/2 from the root. Further, quartal triads, tetrads, and pentads are available in more variety than in Meantone, and make good use of Porcupine's 11-limit consonances. |
| ||= 4333333 ||= 6|0 || A B^ C^ D^ E^ F^ G^ || I iiº iiiº ivº v vi VII ||= Bright, otonal major (VII chord is major) ||
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| ||= 3433333 ||= 5|1 || A B C^ D^ E^ F^ G^ || I II iiiº ivº vº vi vii ||= Darker major (vii is minor) ||
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| ||= 3343333 ||= 4|2 || A B C D^ E^ F^ G^ || i II III ivº vº viº vii ||= Bright minor (II is major) ||
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| ||= 3334333 ||= 3|3 || A B C D E^ F^ G^ || i ii III IV vº viº viiº ||= Symmetric minor (ii is minor) ||
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| ||= 3333433 ||= 2|4 || A B C D E F^ G^ || iº ii iii IV V viº viiº ||= Diminished ||
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| ||= 3333343 ||= 1|5 || A B C D E F G^ || iº iiº iii iv V VI viiº ||= Diminished ||
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| ||= 3333334 ||= 0|6 || A B C D E F G || iº iiº iiiº iv v VI VII ||= [[magical seventh chord|Magical seventh]] mode ||
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| ==Single-alteration MODMOS's==
| | Stacked 3-step triads may be employed in Porcupine[8] and it's MODMOS, comprising in their root position three 3:4:5 triads (second inversion major triad) as major 3-step, minor 3-step: major[8] triad; three 15:20:24 triads (first inversion minor triad) as minor 3-step, major 3-step: minor[8] triad; and two 9:12:16 triads (second inversion suspended triad) as major 3-step, major 3-step: augmented[8] triad. |
| **MODMOS with 1st note in generator chain flattened: #.......######**
| | At least one MODMOS of Porcupine[8] contains the same number of major and minor triads as the MOS, but more spread out across the scale, similar to Porcupine[7] MODMOS. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 5333332 ||= 6|0 #2#3#4#5#6#7 || A B^^ C^^ D^^ E^^ F^^ G^^ ||= ||
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| ||= 2533333 ||= 5|1 b2 || A Bv C^ D^ E^ F^ G^ ||= ||
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| ||= 3253333 ||= 4|2 b3 || A B Cv D^ E^ F^ G^ ||= ||
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| ||= 3325333 ||= 3|3 b4 || A B C Dv E^ F^ G^ ||= ||
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| ||= 3332533 ||= 2|4 b5 || A B C D Ev F^ G^ ||= ||
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| ||= 3333253 ||= 1|5 b6 || A B C D F Fv G^ ||= ||
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| ||= 3333325 ||= 0|6 b7 || A B C D E F Gv ||= ||
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| **MODMOS with 2nd note in generator chain flattened: #.....#.#####**
| | The MODMOS scales of porcupine can be used in conjunction with the regular MOS in order to build powerful tonal movement. While each useful MODMOS has its own distinct name, they most likely will be useful to use as a particular function in each porcupine mode. They can also be used stand alone but little is known about the very complex system of tonality. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4333324 ||= 6|0 b7 || A B^ C^ D^ E^ F^ G ||= ||
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| ||= 4433332 ||= 6|0 #3#4#5#6#7 || A B^ C^^ D^^ E^^ F^^ G^^ ||= ||
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| ||= 2443333 ||= 4|2 b2 || A Bv C^ D^ E^ F^ G^ ||= ||
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| ||= 3244333 ||= 3|3 b3 || A B Cv D E^ F^ G^ ||= ||
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| ||= 3324433 ||= 2|4 b4 || A B C Dv E F^ G^ ||= ||
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| ||= 3332443 ||= 1|5 b5 || A B C D Ev F G^ ||= ||
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| ||= 3333244 ||= 0|6 b6 || A B C D E Fv G ||= ||
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| **MODMOS with 3rd note in generator chain flattened: #....##.####**
| | Porcupine[7] is great, but it lumps all the consonant chords together at one end of the scale (see below). It also fails to contain a complete 11-limit otonal hexad (4:5:6:7:9:11), even though porcupine is not excessively complex in the 11-limit. Thankfully, unlike in meantone[7] where the MODMOSs all reduce the number of consonant triads available, there are several MODMOSs of porcupine that contain an equal or greater number of consonant triads to the MOS (these are highlighted in blue text below). These MODMOSs also conveniently alter the distribution of triads within the scale, providing much-needed variety of possible chord progressions. Even better, some single-alteration MODMOSs make at least one full 11-limit hexad available, meaning 6 of the 7 notes of the scale can be sounded simultaneously and produce a consonant otonal harmony. The fact that porcupine temperament provides not just one 7-note scale but several that are equally-rich in harmonic resources makes it extremely fertile for modal harmony. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4333243 ||= 6|0 b6 || A B^ C^ D^ E^ F G^ ||= ||
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| ||= 3433324 ||= 5|1 b7 || A B C^ D^ E^ F^ G ||= ||
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| ||= 4343332 ||= 6|0 #4#5#6#7 || A B^ C^ D^^ E^^ F^^ G^^ ||= ||
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| ||= 2434333 ||= 3|3 b2 || A Bv C D E^ F^ G^ ||= ||
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| ||= 3243433 ||= 2|4 b3 || A B Cv D E F^ G^ ||= ||
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| ||= 3324343 ||= 1|5 b4 || A B C Dv E F G^ ||= ||
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| ||= 3332434 ||= 0|6 b5 || A B C D Ev F G ||= ||
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| **MODMOS with 4th note in generator chain flattened: #...###.###**
| | == Porcupine[7] and its MODMOSes == |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
| | The below mode names are given in [[Modal UDP Notation|UDP notation]]. For porcupine[7], the bright generator is the 9/5, or the 11/6 if you prefer. All generators below refer to this generator, NOT the 10/9 one. For an explanation of the spellings, see [[Porcupine Notation]]. |
| ||= 4332433 ||= 6|0 b5 || A B^ C^ D^ E F^ G^ ||= ||
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| ||= 3433243 ||= 5|1 b6 || A B C^ D^ E^ F G^ ||= ||
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| ||= 3343324 ||= 4|2 b7 || A B C D^ E^ F^ G ||= || | |
| ||= 4334332 ||= 6|0 #5#6#7 || A B^ C^ D^ E^^ F^^ G^^ ||= ||
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| ||= 2433433 ||= 2|4 b2 || A Bv C D E F^ G^ ||= ||
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| ||= 3243343 ||= 1|5 b3 || A B Cv D E F G^ ||= ||
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| ||= 3324334 ||= 0|6 b4 || A B C Dv E F G ||= ||
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| **MODMOS with 5th note in generator chain flattened: #..####.##**
| | The functional names are pretty straightforward: there are two major modes, one bright and one dark (differing in the second scale degree), two similarly-named minor modes (differing in the fourth scale degree), and then three modes with a diminished triad on the tonic (differing in the sixth and seventh scale degrees). The brightest two of these diminished modes both have a half-diminished tetrad on the tonic, and so they are named the bright and dark half-diminished modes, whereas the darkest has a fully diminished (or [[magical seventh chord|magical seventh]] tetrad) instead. These are sometimes just written bright/dark diminished and magical seventh modes when clear. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4324333 ||= 6|0 b4 || A B^ C^ D E^ F^ G^ ||= ||
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| ||= 3432433 ||= 5|1 b5 || A B C^ D^ E F^ G^ ||= ||
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| ||= 3343243 ||= 4|2 b6 || A B C D^ E^ F G^ ||= ||
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| ||= 3334324 ||= 3|3 b7 || A B C D E^ F^ G ||= ||
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| ||= 4333432 ||= 6|0 #6 #7 || A B^ C^ D^ E^ F^^ G^^ ||= ||
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| ||= 2433343 ||= 1|5 b2 || A Bv C D E F G^ ||= ||
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| ||= 3243334 ||= 0|6 b3 || A B Cv D E F G ||= ||
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| <span style="color: #0000ff;">**Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#**</span>
| | === William Lynch's system === |
| ||= Step Pattern ||= UDP Name #1 ||= UDP Name #2 || Spelling ||= Other Notes ||
| | William Lynch proposed the fun idea of naming modes and MODMOS's of porcupine by various animal names, which are listed as "William's Name" below. He has named these scales as such as he views none of them to be remotely similar to any existing mode name from anywhere. The initial four modes: Porcupine, Chinchilla, Zebra, and Dingo all contain 3/2 from the root while the latter three: Gazelle, Lemur, and Panda lack 3/2 and instead have a triad similar to a diminished triad on the root. In order to remedy this problem, it may be fruitful to use other methods than triadic tertian harmony to build tonal frameworks in porcupine. |
| ||= 4333342 ||= 6|0 #7 ||= (1|5 b1) || A B^ C^ D^ E^ F^ G^^ ||= Major with major V chord (most major-sounding major) ||
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| ||= 2433334 ||= (5|1 #1) ||= 0|6 b2 || A Bv C D E F G ||= Magical seventh ||
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| ||= 4243333 ||= 4|2 #2 ||= 6|0 b3 || A B^ C D^ E^ F^ G^ ||= Minor with minor v chord (most minor-sounding minor) ||
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| ||= 3424333 ||= 3|3 #3 ||= 5|1 b4 || A B C^ D E^ F^ G^ ||= Major with major IV chord ||
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| ||= 3342433 ||= 2|4 #4 ||= 4|2 b5 || A B C D^ E F^ G^ ||= Symmetric diminished ||
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| ||= 3334243 ||= 1|5 #5 ||= 3|3 b6 || A B C D E^ F G^ ||= Minor with minor vi ||
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| ||= 3333424 ||= 0|6 #6 ||= 2|4 b7 || A B C D E F^ G ||= Magical seventh ||
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| **MODMOS with 3rd note in generator chain sharpened: ##.####..#**
| | The scale's nominals can be named by the normal 7-tone alphabet starting on G. This has become somewhat of a standard. Some feel however that given Superpyth uses the same nominals in a contrasting way, it may be beneficial to use an entirely different set of letters for Porcupine. William Lynch's suggestion involves using the old-English alphabet, allowing for both porcupine[8] and porcupine[7] to be notated by leaving out "ð" from the scale. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4333423 ||= 6|0 #6 || A B^ C^ D^ E^ F^^ G^ ||= ||
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| ||= 3433342 ||= 5|1 #7 || A B C^ D^ E^ F^ G^^ ||= ||
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| ||= 2343334 ||= 0|6 b2 b3 || A Bv Cv D E F G ||= ||
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| ||= 4234333 ||= 3|3 #2 || A B^ C D E^ F^ G^ ||= ||
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| ||= 3423433 ||= 2|4 #3 || A B C^ D E F^ G^ ||= ||
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| ||= 3342343 ||= 1|5 #4 || A B C D^ E F G^ ||= ||
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| ||= 3334234 ||= 0|6 #5 || A B C D E^ F G ||= ||
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| **MODMOS with 4th note in generator chain sharpened: ###.###...#**
| | Porcupine[8]: b c ð d e f þ æ |
| ||= Step Pattern ||> UDP Name || Spelling ||= Other Notes ||
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| ||= 4334233 ||> 6|0 #5 || A B^ C^ D^^ E^ F^ G^ ||= ||
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| ||= 3433423 ||> 5|1 #6 || A B C^ D^ E^ F^^ G^ ||= ||
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| ||= 3343342 ||> 4|2 #7 || A B C D^ E^ F^ G^^ ||= ||
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| ||= 2334334 ||> 0|6 b2b3b4 || A Bv Cv Dv E F G ||= ||
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| ||= 4233433 ||> 2|4 #2 || A B^ C D E F^ G^ ||= ||
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| ||= 3423343 ||> 1|5 #3 || A B C^ D E F G^ ||= ||
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| ||= 3342334 ||> 0|6 #4 || A B C D^ E F G ||= ||
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| **MODMOS with 5th note in generator chain sharpened: ####.##....#**
| | Porcupine[7]: b c d e f þ æ with chinchillian mode on "c" |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4342333 ||= 6|0 #4 || A B^ C^ D^^ E^ F^ G^ ||= ||
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| ||= 3434233 ||= 5|1 #5 || A B C^ D^ E^^ F^ G^ ||= ||
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| ||= 3343423 ||= 4|2 #6 || A B C D^ E^ F^^ G^ ||= ||
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| ||= 3334342 ||= 3|3 #7 || A B C D E^ F^ G^^ ||= ||
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| ||= 2333434 ||= 0|6 b2b3b4b5 || A Bv Cv Dv Ev F G ||= ||
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| ||= 4233343 ||= 1|5 #2 || A B^ C D E F G^ ||= ||
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| ||= 3423334 ||= 0|6 #3 || A B C^ D E F G ||= ||
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| **MODMOS with 6th note in generator chain sharpened: #####.#.....#**
| | pronounced "Be - Ce - Eth - De - E - Eff - Thorn - Ash" |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 4423333 ||= 6|0 #3 || A B^ C^^ D^ E^ F^ G^ ||= ||
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| ||= 3442333 ||= 5|1 #4 || A B C^ D^^ E^ F^ G^ ||= ||
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| ||= 3344233 ||= 4|2 #5 || A B C D^ E^^ F^ G^ ||= ||
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| ||= 3334423 ||= 3|3 #6 || A B C D E^ F^^ G^ ||= ||
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| ||= 3333442 ||= 2|4 #7 || A B C D E F^ G^^ ||= ||
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| ||= 2333344 ||= 0|6 b2b3b4b5b6 || A Bv Cv Dv Ev Fv G ||= ||
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| ||= 4233334 ||= 0|6 #2 || A B^ C D E F G ||= ||
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| **MODMOS with 7th note in generator chain sharpened: ######.......#**
| | An alternative suggestion involves using the letters J, K, L, M, N, O, and P for the nominals, replacing A, B, C, D, E, F, and G respectively, such that the bright major mode starts on the note P. |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
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| ||= 5233333 ||= 6|0 #2 || A B^^ C D E F G ||= ||
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| ||= 3523333 ||= 5|1 #3 || A B C^^ D^ E^ F^ G^ ||= ||
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| ||= 3352333 ||= 4|2 #4 || A B C D^^ E^ F^ G^ ||= ||
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| ||= 3335233 ||= 3|3 #5 || A B C D E^^ F^ G^ ||= ||
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| ||= 3333523 ||= 2|4 #6 || A B C D E F^^ G^ ||= ||
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| ||= 3333352 ||= 1|5 #7 || A B C D E F G^^ ||= ||
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| ||= 2333335 ||= 0|6 b2b3b4b5b6b7 || A Bv Cv Dv Ev Fv Gv ||= ||
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| ==Notable double-alteration MODMOS's== | | == The Porcupine[7] MOS == |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes || | | {| class="wikitable" |
| ||= 4324342 ||= 6|0 b4 #7 || A B^ C^ D E^ F^ G^^ || JI Major Scale || | | |- |
| | ! Functional name |
| | ! William's came |
| | ! style="text-align: center;" | 22edo step pattern |
| | ! style="text-align: center;" | 15edo step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Alt spelling |
| | ! Triad qualities |
| | ! style="text-align: center;" | Other notes |
| | ! |
| | |- |
| | | Bright major |
| | | Chinchillian |
| | | style="text-align: center;" | 4333333 |
| | | style="text-align: center;" | 3222222 |
| | | style="text-align: center;" | 6{{pipe}}0 |
| | | G A B C D E F |
| | | P J K L M N O |
| | | I iiº iiiº ivº v vi VII |
| | | style="text-align: center;" | Bright, otonal major (VII chord is major) |
| | | [[File:porcupineotonalmajor22edo.mp3]] |
| | |- |
| | | Dark major |
| | | Badgerian |
| | | style="text-align: center;" | 3433333 |
| | | style="text-align: center;" | 2322222 |
| | | style="text-align: center;" | 5{{pipe}}1 |
| | | G Av B C D E F |
| | | P Jv K L M N O |
| | | I II iiiº ivº vº vi vii |
| | | style="text-align: center;" | Darker major (vii is minor) |
| | | |
| | |- |
| | | Bright minor |
| | | Zebrian |
| | | style="text-align: center;" | 3343333 |
| | | style="text-align: center;" | 2232222 |
| | | style="text-align: center;" | 4{{pipe}}2 |
| | | G Av Bv C D E F |
| | | P Jv Kv L M N O |
| | | i II III ivº vº viº vii |
| | | style="text-align: center;" | Bright minor (II is major) |
| | | |
| | |- |
| | | Dark minor (symmetric) |
| | | Dingoian |
| | | style="text-align: center;" | 3334333 |
| | | style="text-align: center;" | 2223222 |
| | | style="text-align: center;" | 3{{pipe}}3 |
| | | G Av Bv Cv D E F |
| | | P Jv Kv Lv M N O |
| | | i ii III IV vº viº viiº |
| | | style="text-align: center;" | Symmetric minor (ii is minor) |
| | | [[File:porcupinesymmetricminor22edo.mp3]] |
| | |- |
| | | Bright (half-)diminished |
| | | Gazellian |
| | | style="text-align: center;" | 3333433 |
| | | style="text-align: center;" | 2222322 |
| | | style="text-align: center;" | 2{{pipe}}4 |
| | | G Av Bv Cv Dv E F |
| | | P Jv Kv Lv Mv N O |
| | | iº ii iii IV V viº viiº |
| | | style="text-align: center;" | Half-Diminished |
| | | |
| | |- |
| | | Dark (half-)diminished |
| | | Lemurian |
| | | style="text-align: center;" | 3333343 |
| | | style="text-align: center;" | 2222232 |
| | | style="text-align: center;" | 1{{pipe}}5 |
| | | G Av Bv Cv Dv Ev F |
| | | P Jv Kv Lv Mv Nv O |
| | | iº iiº iii iv V VI viiº |
| | | style="text-align: center;" | Half-Diminished |
| | | |
| | |- |
| | | Magical/diminished seventh |
| | | Pandian |
| | | style="text-align: center;" | 3333334 |
| | | style="text-align: center;" | 2222223 |
| | | style="text-align: center;" | 0{{pipe}}6 |
| | | G Av Bv Cv Dv Ev Fv |
| | | P Jv Kv Lv Mv Nv Ov |
| | | iº iiº iiiº iv v VI VII |
| | | style="text-align: center;" | [[magical seventh chord|Magical seventh]] or diminished seventh mode |
| | | |
| | |} |
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| =Porcupine[8] and its MODMOS's= | | === Single-alteration MODMOS's === |
| All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).
| | '''MODMOS with 1st note in generator chain flattened: #.......######''' |
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| ==The Porcupine[8] MOS==
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
| |
| ||= 33333331 ||= 7|0 || A B C D E F G H || ||
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| ||= 33333313 ||= 6|1 || A B C D E F G Hb || ||
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| ||= 33333133 ||= 5|2 || A B C D E F Gb Hb || ||
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| ||= 33331333 ||= 4|3 || A B C D E Fb Gb Hb || ||
| |
| ||= 33313333 ||= 3|4 || A B C D Eb Fb Gb Hb || ||
| |
| ||= 33133333 ||= 2|5 || A B C Db Eb Fb Gb Hb || ||
| |
| ||= 31333333 ||= 1|6 || A B Cb Db Eb Fb Gb Hb || ||
| |
| ||= 13333333 ||= 0|7 || A Bb Cb Db Eb Fb Gb Hb || ||
| |
|
| |
|
| ==Single-alteration MODMOS's (alterations by porcupine[8] chroma)== | | {| class="wikitable" |
| **MODMOS with 2nd note in generator chain flattened:** **#......****#.****######**
| | |- |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| | ! style="text-align: center;" | 22edo steps |
| ||= 15333331 ||= 7|0 b2 || A Bb C D E F G H || || | | ! style="text-align: center;" | 15edo steps |
| ||= 53333311 ||= 7|0 #2#3#4#5#6#7 || A B# C# D# E# F# G# H || || | | ! style="text-align: center;" | UDP name |
| ||= 33333115 ||= 5|2 b8 || A B C D E F Gb Hbb || || | | ! Spelling |
| ||= 33331153 ||= 4|3 b7 || A B C D E Fb Gbb Hb || || | | ! style="text-align: center;" | Other notes |
| ||= 33311533 ||= 3|4 b6 || A B C D Eb Fbb Gb Hb || || | | |- |
| ||= 33115333 ||= 2|5 b5 || A B C Db Ebb Fb Gb Hb || || | | | style="text-align: center;" | 5333332 |
| ||= 31153333 ||= 1|6 b4 || A B Cb Dbb Eb Fb Gb Hb || || | | | style="text-align: center;" | 4222221 |
| ||= 11533333 ||= 0|7 b3 || A Bb Cbb Db Eb Fb Gb Hb || || | | | style="text-align: center;" | 6{{pipe}}0 ^2^3^4^5^6^7 |
| | | G A^ B^ C^ D^ E^ F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2533333 |
| | | style="text-align: center;" | 1422222 |
| | | style="text-align: center;" | 5{{pipe}}1 v2 |
| | | G Avv B C D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3253333 |
| | | style="text-align: center;" | 2142222 |
| | | style="text-align: center;" | 4{{pipe}}2 v3 |
| | | G Av Bvv C D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3325333 |
| | | style="text-align: center;" | 2214222 |
| | | style="text-align: center;" | 3{{pipe}}3 v4 |
| | | G Av Bv Cvv D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3332533 |
| | | style="text-align: center;" | 2221422 |
| | | style="text-align: center;" | 2{{pipe}}4 v5 |
| | | G Av Bv Cv Dvv E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333253 |
| | | style="text-align: center;" | 2222142 |
| | | style="text-align: center;" | 1{{pipe}}5 v6 |
| | | G Av Bv Cv Dv Evv F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333325 |
| | | style="text-align: center;" | 2222214 |
| | | style="text-align: center;" | 0{{pipe}}6 v7 |
| | | G Av Bv Cv Dv Ev Fvv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| **MODMOS with 3rd note in generator chain flattened:** **#.....****##.****#####**
| | '''MODMOS with 2nd note in generator chain flattened: #.....#.#####''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 31533331 ||= 7|0 b3 || A B Cb D E F G H || ||
| |
| ||= 15333313 ||= 6|1 b2 || A Bb C D E F G Hb || ||
| |
| ||= 53333131 ||= 7|0 #2#3#4#5#6 || A B# C# D# E# F# G H || ||
| |
| ||= 33331315 ||= 4|3 b8 || A B C D E Fb Gb Hbb || ||
| |
| ||= 33313153 ||= 3|4 b7 || A B C D Eb Fb Gbb Hb || ||
| |
| ||= 33131533 ||= 2|5 b6 || A B C Db Eb Fbb Gb Hb || ||
| |
| ||= 31315333 ||= 1|6 b5 || A B Cb Db Ebb Fb Gb Hb || ||
| |
| ||= 13153333 ||= 0|7 b4 || A Bb Cb Dbb Eb Fb Gb Hb || ||
| |
|
| |
|
| **MODMOS with 4th note in generator chain flattened:** **#....****##****#.####**
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 33153331 ||= 7|0 b4 || A B C Db E F G H || ||
| |
| ||= 31533313 ||= 6|1 b3 || A B Cb D E F G Hb || ||
| |
| ||= 15333133 ||= 5|2 b2 || A Bb C D E F Gb Hb || ||
| |
| ||= 53331331 ||= 7|0 #2#3#4#5 || A B# C# D# E# F G H || ||
| |
| ||= 33313315 ||= 3|4 b8 || A B C D Eb Fb Gb Hbb || ||
| |
| ||= 33133153 ||= 2|5 b7 || A B C Db Eb Fb Gbb Hb || ||
| |
| ||= 31331533 ||= 1|6 b6 || A B Cb Db Eb Fbb Gb Hb || ||
| |
| ||= 13315333 ||= 0|7 b5 || A Bb Cb Db Ebb Fb Gb Hb || ||
| |
|
| |
|
| **MODMOS with 5th note in generator chain flattened:** **#...****##****##.###**
| | {| class="wikitable" |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| | |- |
| ||= 33315331 ||= 7|0 b5 || A B C D Eb F G H || ||
| | ! style="text-align: center;" | 22edo steps |
| ||= 33153313 ||= 6|1 b4 || A B C Db E F G Hb || ||
| | ! style="text-align: center;" | 15edo steps |
| ||= 31533133 ||= 5|2 b3 || A B Cb D E F Gb Hb || || | | ! style="text-align: center;" | UDP name |
| ||= 15331333 ||= 4|3 b2 || A Bb C D E Fb Gb Hb || || | | ! Spelling |
| ||= 53313331 ||= 7|0 #2#3#4 || A B# C# D# E F G H || || | | ! style="text-align: center;" | Other notes |
| ||= 33133315 ||= 2|5 b8 || A B C Db Eb Fb Gb Hbb || || | | |- |
| ||= 31333153 ||= 1|6 b7 || A B Cb Db Eb Fb Gbb Hb || ||
| | | style="text-align: center;" | 4333324 |
| ||= 13331533 ||= 0|7 b6 || A Bb Cb Db Eb Fbb Gb Hb || ||
| | | style="text-align: center;" | 3222213 |
| | | style="text-align: center;" | 6{{pipe}}0 v7 |
| | | G A B C D E Fv |
| | | style="text-align: center;" | 8:9:10:11:12:14 hexad on the tonic, |
|
| |
|
| **MODMOS with 6th note in generator chain flattened:** **#..****##****###.##**
| | in both 15edo and 22edo as G-A-B-C-D-Fv |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes || | | |- |
| ||= 33331531 ||= 7|0 b6 || A B C D E Fb G H || || | | | style="text-align: center;" | 4433332 |
| ||= 33315313 ||= 6|1 b5 || A B C D Eb F G Hb || || | | | style="text-align: center;" | 3322221 |
| ||= 33153133 ||= 5|2 b4 || A B C Db E F Gb Hb || || | | | style="text-align: center;" | 6{{pipe}}0 ^3^4^5^6^7 |
| ||= 31531333 ||= 4|3 b3 || A B Cb D E Fb Gb Hb || || | | | G A B^ C^ D^ E^ F^ |
| ||= 15313333 ||= 3|4 b2 || A Bb C D Eb Fb Gb Hb || || | | | style="text-align: center;" | |
| ||= 53313331 ||= 7|0 #2#3 || A B# C# D E F G H || || | | |- |
| ||= 33133315 ||= 1|6 b8 || A B Cb Db Eb Fb Gb Hbb || || | | | style="text-align: center;" | 2443333 |
| ||= 31333153 ||= 0|7 b7 || A Bb Cb Db Eb Fb Gbb Hb || || | | | style="text-align: center;" | 1332222 |
| | | style="text-align: center;" | 4{{pipe}}2 v2 |
| | | G Avv Bv C D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3244333 |
| | | style="text-align: center;" | 2133222 |
| | | style="text-align: center;" | 3{{pipe}}3 v3 |
| | | G Av Bvv Cv D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3324433 |
| | | style="text-align: center;" | 2213322 |
| | | style="text-align: center;" | 2{{pipe}}4 v4 |
| | | G Av Bv Cvv Dv E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3332443 |
| | | style="text-align: center;" | 2221332 |
| | | style="text-align: center;" | 1{{pipe}}5 v5 |
| | | G Av Bv Cv Dvv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333244 |
| | | style="text-align: center;" | 2222133 |
| | | style="text-align: center;" | 0{{pipe}}6 v6 |
| | | G Av Bv Cv Dv Evv Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| **MODMOS with 7th note in generator chain flattened or 2nd sharpened:** **#.****##****####.#**
| | '''MODMOS with 3rd note in generator chain flattened: #....##.####''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 33333151 ||= 7|0 b7 || A B C D E F Gb H || ||
| |
| ||= 33331513 ||= 6|1 b6 || A B C D E Fb G Hb || ||
| |
| ||= 33315133 ||= 5|2 b5 || A B C D Eb F Gb Hb || ||
| |
| ||= 33151333 ||= 4|3 b4 || A B C Db E Fb Gb Hb || ||
| |
| ||= 31513333 ||= 3|4 b3 || A B Cb D Eb Fb Gb Hb || ||
| |
| ||= 15133333 ||= 2|5 b2 || A Bb C Db Eb Fb Gb Hb || ||
| |
| ||= 51333331 ||= 7|0 #2 || A B# C D E F G H || ||
| |
| ||= 13333315 ||= 0|7 b8 || A Bb Cb Db Eb Fb Gb Hbb || ||
| |
|
| |
|
| **MODMOS with 3rd note in generator chain sharpened:** **##.****#****####..#**
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 35133331 ||= 7|0 #3 || A B C# D E F G H || ||
| |
| ||= 51333313 ||= 6|1 #2 || A B# C D E F G Hb || ||
| |
| ||= 13333135 ||= 0|7 b7b8 || A Bb Cb Db Eb Fb Gbb Hbb || ||
| |
| ||= 33331351 ||= 4|3 #8 || A B C D E Fb Gb H || ||
| |
| ||= 33313513 ||= 3|4 #7 || A B C D Eb Fb G Hb || ||
| |
| ||= 33135133 ||= 2|5 #6 || A B C Db Eb F Gb Hb || ||
| |
| ||= 31351333 ||= 1|6 #5 || A B Cb Db E Fb Gb Hb || ||
| |
| ||= 13513333 ||= 0|7 #4 || A Bb Cb D Eb Fb Gb Hb || ||
| |
|
| |
|
| **MODMOS with 4th note in generator chain sharpened:** **###.****####...#**
| | {| class="wikitable" |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes || | | |- |
| ||= 33513331 ||= 7|0 #4 || A B C D# E F G H || || | | ! style="text-align: center;" | 22edo steps |
| ||= 35133331 ||= 6|1 #3 || A B C# D E F G Hb || || | | ! style="text-align: center;" | 15edo steps |
| ||= 51333313 ||= 5|2 #2 || A B# C D E F Gb Hb || || | | ! style="text-align: center;" | UDP name |
| ||= 13333135 ||= 0|7 b6b7b8 || A Bb Cb Db Eb Fbb Gbb Hbb || || | | ! Spelling |
| ||= 33331351 ||= 3|4 #8 || A B C D Eb Fb Gb H || || | | ! style="text-align: center;" | Other notes |
| ||= 33313513 ||= 2|5 #7 || A B C Db Eb Fb G Hb || || | | |- |
| ||= 33135133 ||= 1|6 #6 || A B Cb Db Eb F Gb Hb || || | | | style="text-align: center;" | 4333243 |
| ||= 31351333 ||= 0|7 #5 || A Bb Cb Db E Fb Gb Hb || || | | | style="text-align: center;" | 3222132 |
| | | style="text-align: center;" | 6{{pipe}}0 v6 |
| | | G A B C D Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3433324 |
| | | style="text-align: center;" | 2322213 |
| | | style="text-align: center;" | 5{{pipe}}1 v7 |
| | | G Av B C D E Fv |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 4343332 |
| | | style="text-align: center;" | 3232221 |
| | | style="text-align: center;" | 6{{pipe}}0 ^4^5^6^7 |
| | | G A B C^ D^ E^ F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2434333 |
| | | style="text-align: center;" | 1323222 |
| | | style="text-align: center;" | 3{{pipe}}3 v2 |
| | | G Avv Bv Cv D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3243433 |
| | | style="text-align: center;" | 2132322 |
| | | style="text-align: center;" | 2{{pipe}}4 v3 |
| | | G Av Bvv Cv Dv E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3324343 |
| | | style="text-align: center;" | 2213232 |
| | | style="text-align: center;" | 1{{pipe}}5 v4 |
| | | G Av Bv Cvv Dv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3332434 |
| | | style="text-align: center;" | 2221323 |
| | | style="text-align: center;" | 0{{pipe}}6 v5 |
| | | G Av Bv Cv Dvv Ev Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| **MODMOS with 5th note in generator chain sharpened:** **####.****###....#**
| | '''MODMOS with 4th note in generator chain flattened: #...###.###''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 33351331 ||= 7|0 #5 || A B C D E# F G H || ||
| |
| ||= 33513331 ||= 6|1 #4 || A B C D# E F G Hb || ||
| |
| ||= 35133313 ||= 5|2 #3 || A B C# D E F Gb Hb || ||
| |
| ||= 51333133 ||= 4|3 #2 || A B# C D E Fb Gb Hb || ||
| |
| ||= 13331335 ||= 0|7 b5b6b7b8 || A Bb Cb Db Ebb Fbb Gbb Hbb || ||
| |
| ||= 33313351 ||= 2|5 #8 || A B C Db Eb Fb Gb H || ||
| |
| ||= 33133513 ||= 1|6 #7 || A B Cb Db Eb Fb G Hb || ||
| |
| ||= 31335133 ||= 0|7 #6 || A Bb Cb Db Eb F Gb Hb || ||
| |
|
| |
|
| **MODMOS with 6th note in generator chain sharpened:** **#####.****##.....#**
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes ||
| |
| ||= 33335131 ||= 7|0 #6 || A B C D E F# G H || ||
| |
| ||= 33351313 ||= 6|1 #5 || A B C D E# F G Hb || ||
| |
| ||= 33513133 ||= 5|2 #4 || A B C D# E F Gb Hb || ||
| |
| ||= 35131333 ||= 4|3 #3 || A B C# D E Fb Gb Hb || ||
| |
| ||= 51313333 ||= 3|4 #2 || A B# C D Eb Fb Gb Hb || ||
| |
| ||= 13133335 ||= 0|7 b4b5b6b7b8 || A Bb Cb Dbb Ebb Fbb Gbb Hbb || ||
| |
| ||= 31333351 ||= 1|6 #8 || A B Cb Db Eb Fb Gb H || ||
| |
| ||= 13333513 ||= 0|7 #7 || A Bb Cb Db Eb Fb G Hb || ||
| |
|
| |
|
| **MODMOS with 7th note in generator chain sharpened:** **######.****#......#**
| | {| class="wikitable" |
| ||= Step Pattern ||= UDP Name || Spelling || Other Notes || | | |- |
| ||= 33333511 ||= 7|0 #7 || A B C D E F G# H || || | | ! style="text-align: center;" | 22edo steps |
| ||= 33335113 ||= 6|1 #6 || A B C D E F# G Hb || || | | ! style="text-align: center;" | 15edo steps |
| ||= 33351133 ||= 5|2 #5 || A B C D E# F Gb Hb || || | | ! style="text-align: center;" | UDP name |
| ||= 33511333 ||= 4|3 #4 || A B C D# E Fb Gb Hb || || | | ! Spelling |
| ||= 35113333 ||= 3|4 #3 || A B C# D Eb Fb Gb Hb || || | | ! style="text-align: center;" | Other notes |
| ||= 51133333 ||= 2|5 #2 || A B# C Db Eb Fb Gb Hb || || | | |- |
| ||= 11333335 ||= 0|7 b3b4b5b6b7b8 || A Bb Cbb Dbb Ebb Fbb Gbb Hbb || || | | | style="text-align: center;" | 4332433 |
| ||= 13333351 ||= 0|7 #8 || A Bb Cb Db Eb Fb Gb H || ||</pre></div> | | | style="text-align: center;" | 3221322 |
| <h4>Original HTML content:</h4>
| | | style="text-align: center;" | 6{{pipe}}0 v5 |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Porcupine Temperament Modal Harmony</title></head><body><!-- ws:start:WikiTextTocRule:20:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><div style="margin-left: 1em;"><a href="#Intro To Porcupine">Intro To Porcupine</a></div>
| | | G A B C Dv E F |
| <!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 1em;"><a href="#Brief Intro to Modal Harmony and MODMOS's">Brief Intro to Modal Harmony and MODMOS's</a></div>
| | | style="text-align: center;" | |
| <!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 1em;"><a href="#Reasons Why Porcupine Will Make for The Best Modal Harmony Ever">Reasons Why Porcupine Will Make for The Best Modal Harmony Ever</a></div>
| | |- |
| <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 1em;"><a href="#Porcupine[7] and its MODMOS's">Porcupine[7] and its MODMOS's</a></div>
| | | style="text-align: center;" | 3433243 |
| <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOS's-The Porcupine[7] MOS">The Porcupine[7] MOS</a></div>
| | | style="text-align: center;" | 2322132 |
| <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOS's-Single-alteration MODMOS's">Single-alteration MODMOS's</a></div>
| | | style="text-align: center;" | 5{{pipe}}1 v6 |
| <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#Porcupine[7] and its MODMOS's-Notable double-alteration MODMOS's">Notable double-alteration MODMOS's</a></div>
| | | G Av B C D Ev F |
| <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Porcupine[8] and its MODMOS's">Porcupine[8] and its MODMOS's</a></div>
| | | style="text-align: center;" | |
| <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Porcupine[8] and its MODMOS's-The Porcupine[8] MOS">The Porcupine[8] MOS</a></div>
| | |- |
| <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Porcupine[8] and its MODMOS's-Single-alteration MODMOS's (alterations by porcupine[8] chroma)">Single-alteration MODMOS's (alterations by porcupine[8] chroma)</a></div>
| | | style="text-align: center;" | 3343324 |
| <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --></div>
| | | style="text-align: center;" | 2232213 |
| <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intro To Porcupine"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intro To Porcupine</h1>
| | | style="text-align: center;" | 4{{pipe}}2 v7 |
| We need an intro<br />
| | | G Av Bv C D E Fv |
| <br />
| | | style="text-align: center;" | |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Brief Intro to Modal Harmony and MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:2 -->Brief Intro to Modal Harmony and MODMOS's</h1>
| | |- |
| We should have a brief intro to all that<br />
| | | style="text-align: center;" | 4334332 |
| <br />
| | | style="text-align: center;" | 3223221 |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Reasons Why Porcupine Will Make for The Best Modal Harmony Ever"></a><!-- ws:end:WikiTextHeadingRule:4 -->Reasons Why Porcupine Will Make for The Best Modal Harmony Ever</h1>
| | | style="text-align: center;" | 6{{pipe}}0 ^5^6^7 |
| Just summarize everything on Andrew H's page here<br />
| | | G A B C D^ E^ F^ |
| <br />
| | | style="text-align: center;" | |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Porcupine[7] and its MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:6 -->Porcupine[7] and its MODMOS's</h1>
| | |- |
| <br />
| | | style="text-align: center;" | 2433433 |
| The below mode names are given in <a class="wiki_link" href="/Modal%20UDP%20Notation">UDP notation</a>. For porcupine[7], the chroma-aligned generator is the 9/5, or the 11/6 if you prefer. All generators below refer to this generator, NOT the 10/9 one. For an explanation of the spellings, see <a class="wiki_link" href="/Porcupine%20Notation">Porcupine Notation</a>.<br />
| | | style="text-align: center;" | 1322322 |
| <br />
| | | style="text-align: center;" | 2{{pipe}}4 v2 |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Porcupine[7] and its MODMOS's-The Porcupine[7] MOS"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong>The Porcupine[7] MOS</strong></h2>
| | | G Avv Bv Cv Dv E F |
|
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3243343 |
| | | style="text-align: center;" | 2132232 |
| | | style="text-align: center;" | 1{{pipe}}5 v3 |
| | | G Av Bvv Cv Dv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3324334 |
| | | style="text-align: center;" | 2213223 |
| | | style="text-align: center;" | 0{{pipe}}6 v4 |
| | | G Av Bv Cvv Dv Ev Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | <span style="color: #0000ff;">'''MODMOS with 5th note in generator chain flattened: #..####.## (melodic major)'''</span> |
| <tr>
| |
| <td style="text-align: center;">Step Pattern (in 22edo)<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Triad Qualities<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4333333<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td>I iiº iiiº ivº v vi VII<br />
| |
| </td>
| |
| <td style="text-align: center;">Bright, otonal major (VII chord is major)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3433333<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1<br />
| |
| </td>
| |
| <td>A B C^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td>I II iiiº ivº vº vi vii<br />
| |
| </td>
| |
| <td style="text-align: center;">Darker major (vii is minor)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3343333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2<br />
| |
| </td>
| |
| <td>A B C D^ E^ F^ G^<br />
| |
| </td>
| |
| <td>i II III ivº vº viº vii<br />
| |
| </td>
| |
| <td style="text-align: center;">Bright minor (II is major)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3<br />
| |
| </td>
| |
| <td>A B C D E^ F^ G^<br />
| |
| </td>
| |
| <td>i ii III IV vº viº viiº<br />
| |
| </td>
| |
| <td style="text-align: center;">Symmetric minor (ii is minor)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4<br />
| |
| </td>
| |
| <td>A B C D E F^ G^<br />
| |
| </td>
| |
| <td>iº ii iii IV V viº viiº<br />
| |
| </td>
| |
| <td style="text-align: center;">Diminished<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5<br />
| |
| </td>
| |
| <td>A B C D E F G^<br />
| |
| </td>
| |
| <td>iº iiº iii iv V VI viiº<br />
| |
| </td>
| |
| <td style="text-align: center;">Diminished<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6<br />
| |
| </td>
| |
| <td>A B C D E F G<br />
| |
| </td>
| |
| <td>iº iiº iiiº iv v VI VII<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/magical%20seventh%20chord">Magical seventh</a> mode<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Consists of unbroken chains of 4/3s''' |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Porcupine[7] and its MODMOS's-Single-alteration MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:10 -->Single-alteration MODMOS's</h2>
| |
| <strong>MODMOS with 1st note in generator chain flattened: #.......######</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! Functional Name |
| | ! William's Name (repltiles) |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | Bright major v4 |
| | | Lizard |
| | | style="text-align: center;" | 4324333 |
| | | style="text-align: center;" | 3213222 |
| | | style="text-align: center;" | 6{{pipe}}0 v4 |
| | | G A B Cv D E F |
| | | style="text-align: center;" | I, IV, v, vi "mixolydian-like"* |
| | |- |
| | | Dark major v5 |
| | | Iguana |
| | | style="text-align: center;" | 3432433 |
| | | style="text-align: center;" | 2321322 |
| | | style="text-align: center;" | 5{{pipe}}1 v5 |
| | | G Av B C Dv E F |
| | | style="text-align: center;" | |
| | |- |
| | | Bright minor v6 |
| | | Serpent |
| | | style="text-align: center;" | 3343243 |
| | | style="text-align: center;" | 2232132 |
| | | style="text-align: center;" | 4{{pipe}}2 v6 |
| | | G Av Bv C D Ev F |
| | | style="text-align: center;" | i, III, VI, vii |
| | |- |
| | | Dark minor v7 |
| | | Iguana |
| | | style="text-align: center;" | 3334324 |
| | | style="text-align: center;" | 2223213 |
| | | style="text-align: center;" | 3{{pipe}}3 v7 |
| | | G Av Bv Cv D E Fv |
| | | style="text-align: center;" | i, ii, IV, VII "dorian-like" |
| | |- |
| | | Bright major ^6^7 |
| | (melodic major) |
| | | Chameleon |
| | | style="text-align: center;" | 4333432 |
| | | style="text-align: center;" | 3222321 |
| | | style="text-align: center;" | 6{{pipe}}0 ^6^7 |
| | | G A B C D E^ F^ |
| | | style="text-align: center;" | I, ii, iii, V "ionian-like"; |
|
| |
|
| <table class="wiki_table">
| | 8:9:10:11:12:14:15 on the tonic in 15edo as G-A-B-C-D-E^-F^ |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">5333332<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #2#3#4#5#6#7<br />
| |
| </td>
| |
| <td>A B^^ C^^ D^^ E^^ F^^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2533333<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 b2<br />
| |
| </td>
| |
| <td>A Bv C^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3253333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 b3<br />
| |
| </td>
| |
| <td>A B Cv D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3325333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 b4<br />
| |
| </td>
| |
| <td>A B C Dv E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3332533<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 b5<br />
| |
| </td>
| |
| <td>A B C D Ev F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333253<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 b6<br />
| |
| </td>
| |
| <td>A B C D F Fv G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333325<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b7<br />
| |
| </td>
| |
| <td>A B C D E F Gv<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | (but not in 22edo) |
| <strong>MODMOS with 2nd note in generator chain flattened: #.....#.#####</strong><br />
| |
|
| |
|
| | Igliashon finds it the "most grounded", |
|
| |
|
| <table class="wiki_table">
| | and suggests it as a candidate for "default major" |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Dark (half-)diminished v2 |
| </td>
| | | Crocodile |
| <td style="text-align: center;">UDP Name<br />
| | | style="text-align: center;" | 2433343 |
| </td>
| | | style="text-align: center;" | 1322232 |
| <td>Spelling<br />
| | | style="text-align: center;" | 1{{pipe}}5 v2 |
| </td>
| | | G Avv Bv Cv Dv Ev F |
| <td style="text-align: center;">Other Notes<br />
| | | style="text-align: center;" | |
| </td>
| | |- |
| </tr>
| | | Magical seventh v3 |
| <tr>
| | | Turtle |
| <td style="text-align: center;">4333324<br />
| | | style="text-align: center;" | 3243334 |
| </td>
| | | style="text-align: center;" | 2132223 |
| <td style="text-align: center;">6|0 b7<br />
| | | style="text-align: center;" | 0{{pipe}}6 v3 |
| </td>
| | | G Av Bvv Cv Dv Ev Fv |
| <td>A B^ C^ D^ E^ F^ G<br />
| | | style="text-align: center;" | |
| </td>
| | |} |
| <td style="text-align: center;"><br />
| | <ul><li>This kind of description is obviously stupid because these porcupine scales are not really like the diatonic modes "mixolydian", "dorian", etc. As always, feel free to edit if you have some better description.</li></ul> |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4433332<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #3#4#5#6#7<br />
| |
| </td>
| |
| <td>A B^ C^^ D^^ E^^ F^^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2443333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 b2<br />
| |
| </td>
| |
| <td>A Bv C^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3244333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 b3<br />
| |
| </td>
| |
| <td>A B Cv D E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3324433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 b4<br />
| |
| </td>
| |
| <td>A B C Dv E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3332443<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 b5<br />
| |
| </td>
| |
| <td>A B C D Ev F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333244<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b6<br />
| |
| </td>
| |
| <td>A B C D E Fv G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | <span style="color: #0000ff;">'''Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.# (harmonic)'''</span> |
| <strong>MODMOS with 3rd note in generator chain flattened: #....##.####</strong><br />
| |
|
| |
|
| | '''Consists of unbroken chains of 4/3s''' |
|
| |
|
| <table class="wiki_table">
| | '''Has the most evenly-distributed 5-limit triads of all the MODMOSs''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4333243<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 b6<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E^ F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3433324<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 b7<br />
| |
| </td>
| |
| <td>A B C^ D^ E^ F^ G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4343332<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #4#5#6#7<br />
| |
| </td>
| |
| <td>A B^ C^ D^^ E^^ F^^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2434333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 b2<br />
| |
| </td>
| |
| <td>A Bv C D E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3243433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 b3<br />
| |
| </td>
| |
| <td>A B Cv D E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3324343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 b4<br />
| |
| </td>
| |
| <td>A B C Dv E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3332434<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b5<br />
| |
| </td>
| |
| <td>A B C D Ev F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| <strong>MODMOS with 4th note in generator chain flattened: #...###.###</strong><br />
| | |- |
| | ! Functional Name |
| | ! William's Name (Farm animals) |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name #1 |
| | ! style="text-align: center;" | UDP name #2 |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | Bright major ^7 |
| | (harmonic major) |
| | | Horse |
| | | style="text-align: center;" | 4333342 |
| | | style="text-align: center;" | 3222231 |
| | | style="text-align: center;" | 6{{pipe}}0 ^7 |
| | | style="text-align: center;" | (1{{pipe}}5 v1) |
| | | G A B C D E F^ |
| | | style="text-align: center;" | I ii° iii iv° V vi vii° |
|
| |
|
| | Major with major V chord (most major-sounding major) |
| | |- |
| | | Magical seventh v2 |
| | | Pig |
| | | style="text-align: center;" | 2433334 |
| | | style="text-align: center;" | 1322223 |
| | | style="text-align: center;" | (5{{pipe}}1 ^1) |
| | | style="text-align: center;" | 0{{pipe}}6 v2 |
| | | G Avv Bv Cv Dv Ev Fv |
| | | style="text-align: center;" | i° II iii° iv v° VI vii |
|
| |
|
| <table class="wiki_table">
| | Magical seventh |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Bright minor ^2 |
| </td>
| | (harmonic minor) |
| <td style="text-align: center;">UDP Name<br />
| | | Sheep |
| </td>
| | | style="text-align: center;" | 4243333 |
| <td>Spelling<br />
| | | style="text-align: center;" | 3132222 |
| </td>
| | | style="text-align: center;" | 4{{pipe}}2 ^2 |
| <td style="text-align: center;">Other Notes<br />
| | | style="text-align: center;" | 6{{pipe}}0 v3 |
| </td>
| | | G A Bv C D E F |
| </tr>
| | | style="text-align: center;" | i ii° III iv° v vi° VII |
| <tr>
| |
| <td style="text-align: center;">4332433<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 b5<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3433243<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 b6<br />
| |
| </td>
| |
| <td>A B C^ D^ E^ F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3343324<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 b7<br />
| |
| </td>
| |
| <td>A B C D^ E^ F^ G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4334332<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #5#6#7<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E^^ F^^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2433433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 b2<br />
| |
| </td>
| |
| <td>A Bv C D E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3243343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 b3<br />
| |
| </td>
| |
| <td>A B Cv D E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3324334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b4<br />
| |
| </td>
| |
| <td>A B C Dv E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Minor with minor v chord (most minor-sounding minor) |
| <strong>MODMOS with 5th note in generator chain flattened: #..####.##</strong><br />
| | |- |
| | | Dark major v4 |
| | | Cow |
| | | style="text-align: center;" | 3424333 |
| | | style="text-align: center;" | 2313222 |
| | | style="text-align: center;" | 3{{pipe}}3 ^3 |
| | | style="text-align: center;" | 5{{pipe}}1 v4 |
| | | G Av B Cv D E F |
| | | style="text-align: center;" | I ii iii° IV v° vi vii° |
|
| |
|
| | Major with major IV chord |
| | |- |
| | | Symmetric half-diminished |
| | | Llama |
| | | style="text-align: center;" | 3342433 |
| | | style="text-align: center;" | 2231322 |
| | | style="text-align: center;" | 2{{pipe}}4 ^4 |
| | | style="text-align: center;" | 4{{pipe}}2 v5 |
| | | G Av Bv C Dv E F |
| | | style="text-align: center;" | i° II iii iv° V vi° vii |
|
| |
|
| <table class="wiki_table">
| | Symmetric diminished |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Dark minor v6 |
| </td>
| | | Goat |
| <td style="text-align: center;">UDP Name<br />
| | | style="text-align: center;" | 3334243 |
| </td>
| | | style="text-align: center;" | 2223132 |
| <td>Spelling<br />
| | | style="text-align: center;" | 1{{pipe}}5 ^5 |
| </td>
| | | style="text-align: center;" | 3{{pipe}}3 v6 |
| <td style="text-align: center;">Other Notes<br />
| | | G Av Bv Cv D Ev F |
| </td>
| | | style="text-align: center;" | i ii° III iv v° VI vii° |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4324333<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 b4<br />
| |
| </td>
| |
| <td>A B^ C^ D E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3432433<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 b5<br />
| |
| </td>
| |
| <td>A B C^ D^ E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3343243<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 b6<br />
| |
| </td>
| |
| <td>A B C D^ E^ F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334324<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 b7<br />
| |
| </td>
| |
| <td>A B C D E^ F^ G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4333432<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #6 #7<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E^ F^^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2433343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 b2<br />
| |
| </td>
| |
| <td>A Bv C D E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3243334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b3<br />
| |
| </td>
| |
| <td>A B Cv D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Minor with minor iv |
| <span style="color: #0000ff;"><strong>Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#</strong></span><br />
| | |- |
| | | Magical seventh ^6 |
| | | Rooster |
| | | style="text-align: center;" | 3333424 |
| | | style="text-align: center;" | 2222313 |
| | | style="text-align: center;" | 0{{pipe}}6 ^6 |
| | | style="text-align: center;" | 2{{pipe}}4 v7 |
| | | G Av Bv Cv Dv E Fv |
| | | style="text-align: center;" | i° ii iii° IV v vi° VII |
|
| |
|
| | Magical seventh |
| | |} |
|
| |
|
| <table class="wiki_table">
| | <span style="color: #0000ff;">'''MODMOS with 3rd note in generator chain sharpened: ##.####..# (melodic minor)'''</span> |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name #1<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name #2<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4333342<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #7<br />
| |
| </td>
| |
| <td style="text-align: center;">(1|5 b1)<br />
| |
| </td>
| |
| <td>A B^ C^ D^ E^ F^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;">Major with major V chord (most major-sounding major)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2433334<br />
| |
| </td>
| |
| <td style="text-align: center;">(5|1 #1)<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b2<br />
| |
| </td>
| |
| <td>A Bv C D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;">Magical seventh<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4243333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 #2<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 b3<br />
| |
| </td>
| |
| <td>A B^ C D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;">Minor with minor v chord (most minor-sounding minor)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3424333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 #3<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 b4<br />
| |
| </td>
| |
| <td>A B C^ D E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;">Major with major IV chord<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3342433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 #4<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 b5<br />
| |
| </td>
| |
| <td>A B C D^ E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;">Symmetric diminished<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334243<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 #5<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 b6<br />
| |
| </td>
| |
| <td>A B C D E^ F G^<br />
| |
| </td>
| |
| <td style="text-align: center;">Minor with minor vi<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333424<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 #6<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 b7<br />
| |
| </td>
| |
| <td>A B C D E F^ G<br />
| |
| </td>
| |
| <td style="text-align: center;">Magical seventh<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Consists of unbroken chains of 4/3s''' |
| <strong>MODMOS with 3rd note in generator chain sharpened: ##.####..#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! Functional Name |
| | ! William's Name (big cats) |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name #1 |
| | ! style="text-align: center;" | UDP name #2 |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | Bright major ^6 |
| | | Lionian |
| | | style="text-align: center;" | 4333423 |
| | | style="text-align: center;" | 3222312 |
| | | style="text-align: center;" | 6{{pipe}}0 ^6 |
| | | style="text-align: center;" | (2{{pipe}}4 v1v7) |
| | | G A B C D E^ F |
| | | style="text-align: center;" | I, ii, v, VII "mixolydian-like" |
|
| |
|
| <table class="wiki_table">
| | 8:9:10:11:12:14 on the tonic in 15edo only |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Dark major ^7 |
| </td>
| | | Tigonian |
| <td style="text-align: center;">UDP Name<br />
| | | style="text-align: center;" | 3433342 |
| </td>
| | | style="text-align: center;" | 2322231 |
| <td>Spelling<br />
| | | style="text-align: center;" | 5{{pipe}}1 ^7 |
| </td>
| | | style="text-align: center;" | (1{{pipe}}5 v1v2) |
| <td style="text-align: center;">Other Notes<br />
| | | G Av B C D E F^ |
| </td>
| | | style="text-align: center;" | I, II, iii, vi |
| </tr>
| | |- |
| <tr>
| | | Bright minor ^1 |
| <td style="text-align: center;">4333423<br />
| | | Cougian |
| </td>
| | | style="text-align: center;" | 2343334 |
| <td style="text-align: center;">6|0 #6<br />
| | | style="text-align: center;" | 1232223 |
| </td>
| | | style="text-align: center;" | (4{{pipe}}2 ^1) |
| <td>A B^ C^ D^ E^ F^^ G^<br />
| | | style="text-align: center;" | 0{{pipe}}6 v2v3 |
| </td>
| | | G Avv Bvv Cv Dv Ev Fv |
| <td style="text-align: center;"><br />
| | | style="text-align: center;" | |
| </td>
| | |- |
| </tr>
| | | Dark minor ^2 |
| <tr>
| | (melodic minor) |
| <td style="text-align: center;">3433342<br />
| | | Leopardian |
| </td>
| | | style="text-align: center;" | 4234333 |
| <td style="text-align: center;">5|1 #7<br />
| | | style="text-align: center;" | 3123222 |
| </td>
| | | style="text-align: center;" | 3{{pipe}}3 ^2 |
| <td>A B C^ D^ E^ F^ G^^<br />
| | | style="text-align: center;" | 6{{pipe}}0 v3v4 |
| </td>
| | | G A Bv Cv D E F |
| <td style="text-align: center;"><br />
| | | style="text-align: center;" | i, III, IV, v "dorian-like" |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2343334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b2 b3<br />
| |
| </td>
| |
| <td>A Bv Cv D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4234333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 #2<br />
| |
| </td>
| |
| <td>A B^ C D E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3423433<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 #3<br />
| |
| </td>
| |
| <td>A B C^ D E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3342343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 #4<br />
| |
| </td>
| |
| <td>A B C D^ E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334234<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 #5<br />
| |
| </td>
| |
| <td>A B C D E^ F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Keenan and Igliashon both find this exceptionally beautiful |
| <strong>MODMOS with 4th note in generator chain sharpened: ###.###...#</strong><br />
| |
|
| |
|
| | and suggest it as a candidate for default "minor" |
| | |- |
| | | Bright (half-)diminished ^3 |
| | | Cheetian |
| | | style="text-align: center;" | 3423433 |
| | | style="text-align: center;" | 2312322 |
| | | style="text-align: center;" | 2{{pipe}}4 ^3 |
| | | style="text-align: center;" | 5{{pipe}}1 v4v5 |
| | | G Av B Cv Dv E F |
| | | style="text-align: center;" | |
| | |- |
| | | Dark (half-)diminished ^4 |
| | | Jaguarian |
| | | style="text-align: center;" | 3342343 |
| | | style="text-align: center;" | 2231232 |
| | | style="text-align: center;" | 1{{pipe}}5 ^4 |
| | | style="text-align: center;" | 4{{pipe}}2 v5v6 |
| | | G Av Bv C Dv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | Dark minor v6 v7 |
| | | Pantherian |
| | | style="text-align: center;" | 3334234 |
| | | style="text-align: center;" | 2223123 |
| | | style="text-align: center;" | 0{{pipe}}6 ^5 |
| | | style="text-align: center;" | 3{{pipe}}3 v6v7 |
| | | G Av Bv Cv D Ev Fv |
| | | style="text-align: center;" | i, iv, VI, VII "aeolian-like" |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 4th note in generator chain sharpened: ###.###...#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: right;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4334233<br />
| |
| </td>
| |
| <td style="text-align: right;">6|0 #5<br />
| |
| </td>
| |
| <td>A B^ C^ D^^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3433423<br />
| |
| </td>
| |
| <td style="text-align: right;">5|1 #6<br />
| |
| </td>
| |
| <td>A B C^ D^ E^ F^^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3343342<br />
| |
| </td>
| |
| <td style="text-align: right;">4|2 #7<br />
| |
| </td>
| |
| <td>A B C D^ E^ F^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2334334<br />
| |
| </td>
| |
| <td style="text-align: right;">0|6 b2b3b4<br />
| |
| </td>
| |
| <td>A Bv Cv Dv E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4233433<br />
| |
| </td>
| |
| <td style="text-align: right;">2|4 #2<br />
| |
| </td>
| |
| <td>A B^ C D E F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3423343<br />
| |
| </td>
| |
| <td style="text-align: right;">1|5 #3<br />
| |
| </td>
| |
| <td>A B C^ D E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3342334<br />
| |
| </td>
| |
| <td style="text-align: right;">0|6 #4<br />
| |
| </td>
| |
| <td>A B C D^ E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| <strong>MODMOS with 5th note in generator chain sharpened: ####.##....#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 4334233 |
| | | style="text-align: center;" | 3223122 |
| | | style="text-align: center;" | 6{{pipe}}0 ^5 |
| | | G A B C D^ E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3433423 |
| | | style="text-align: center;" | 2322312 |
| | | style="text-align: center;" | 5{{pipe}}1 ^6 |
| | | G Av B C D E^ F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3343342 |
| | | style="text-align: center;" | 2232231 |
| | | style="text-align: center;" | 4{{pipe}}2 ^7 |
| | | G Av Bv C D E F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2334334 |
| | | style="text-align: center;" | 1223223 |
| | | style="text-align: center;" | 0{{pipe}}6 v2v3v4 |
| | | G Avv Bvv Cvv Dv Ev Fv |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 4233433 |
| | | style="text-align: center;" | 3122322 |
| | | style="text-align: center;" | 2{{pipe}}4 ^2 |
| | | G A Bv Cv Dv E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3423343 |
| | | style="text-align: center;" | 2312232 |
| | | style="text-align: center;" | 1{{pipe}}5 ^3 |
| | | G Av B Cv Dv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3342334 |
| | | style="text-align: center;" | 2231223 |
| | | style="text-align: center;" | 0{{pipe}}6 ^4 |
| | | G Av Bv C Dv Ev Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 5th note in generator chain sharpened: ####.##....#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4342333<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #4<br />
| |
| </td>
| |
| <td>A B^ C^ D^^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3434233<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 #5<br />
| |
| </td>
| |
| <td>A B C^ D^ E^^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3343423<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 #6<br />
| |
| </td>
| |
| <td>A B C D^ E^ F^^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334342<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 #7<br />
| |
| </td>
| |
| <td>A B C D E^ F^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2333434<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b2b3b4b5<br />
| |
| </td>
| |
| <td>A Bv Cv Dv Ev F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4233343<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 #2<br />
| |
| </td>
| |
| <td>A B^ C D E F G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3423334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 #3<br />
| |
| </td>
| |
| <td>A B C^ D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| <strong>MODMOS with 6th note in generator chain sharpened: #####.#.....#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 4342333 |
| | | style="text-align: center;" | 3231222 |
| | | style="text-align: center;" | 6{{pipe}}0 ^4 |
| | | G A B C^ D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3434233 |
| | | style="text-align: center;" | 2323122 |
| | | style="text-align: center;" | 5{{pipe}}1 ^5 |
| | | G Av B C D^ E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3343423 |
| | | style="text-align: center;" | 2232312 |
| | | style="text-align: center;" | 4{{pipe}}2 ^6 |
| | | G Av Bv C D E^ F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3334342 |
| | | style="text-align: center;" | 2223231 |
| | | style="text-align: center;" | 3{{pipe}}3 ^7 |
| | | G Av Bv Cv D E F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2333434 |
| | | style="text-align: center;" | 1222323 |
| | | style="text-align: center;" | 0{{pipe}}6 v2v3v4v5 |
| | | G Avv Bvv Cvv Dvv Ev Fv |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 4233343 |
| | | style="text-align: center;" | 3122232 |
| | | style="text-align: center;" | 1{{pipe}}5 ^2 |
| | | G A Bv Cv Dv Ev F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3423334 |
| | | style="text-align: center;" | 2312223 |
| | | style="text-align: center;" | 0{{pipe}}6 ^3 |
| | | G Av B Cv Dv Ev Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 6th note in generator chain sharpened: #####.#.....#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4423333<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #3<br />
| |
| </td>
| |
| <td>A B^ C^^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3442333<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 #4<br />
| |
| </td>
| |
| <td>A B C^ D^^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3344233<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 #5<br />
| |
| </td>
| |
| <td>A B C D^ E^^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3334423<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 #6<br />
| |
| </td>
| |
| <td>A B C D E^ F^^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333442<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 #7<br />
| |
| </td>
| |
| <td>A B C D E F^ G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2333344<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b2b3b4b5b6<br />
| |
| </td>
| |
| <td>A Bv Cv Dv Ev Fv G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4233334<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 #2<br />
| |
| </td>
| |
| <td>A B^ C D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| <strong>MODMOS with 7th note in generator chain sharpened: ######.......#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | 22edo steps |
| | ! style="text-align: center;" | 15edo steps |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 4423333 |
| | | style="text-align: center;" | 3312222 |
| | | style="text-align: center;" | 6{{pipe}}0 ^3 |
| | | G A B^ C D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3442333 |
| | | style="text-align: center;" | 2331222 |
| | | style="text-align: center;" | 5{{pipe}}1 ^4 |
| | | G Av B C^ D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3344233 |
| | | style="text-align: center;" | 2233122 |
| | | style="text-align: center;" | 4{{pipe}}2 ^5 |
| | | G Av Bv C D^ E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3334423 |
| | | style="text-align: center;" | 2223312 |
| | | style="text-align: center;" | 3{{pipe}}3 ^6 |
| | | G Av Bv Cv D E^ F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333442 |
| | | style="text-align: center;" | 2222331 |
| | | style="text-align: center;" | 2{{pipe}}4 ^7 |
| | | G Av Bv Cv Dv E F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2333344 |
| | | style="text-align: center;" | 1222233 |
| | | style="text-align: center;" | 0{{pipe}}6 v2v3v4v5v6 |
| | | G Avv Bvv Cvv Dvv Evv Fv |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 4233334 |
| | | style="text-align: center;" | 3122223 |
| | | style="text-align: center;" | 0{{pipe}}6 ^2 |
| | | G A Bv Cv Dv Ev Fv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 7th note in generator chain sharpened: ######.......#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">5233333<br />
| |
| </td>
| |
| <td style="text-align: center;">6|0 #2<br />
| |
| </td>
| |
| <td>A B^^ C D E F G<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3523333<br />
| |
| </td>
| |
| <td style="text-align: center;">5|1 #3<br />
| |
| </td>
| |
| <td>A B C^^ D^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3352333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|2 #4<br />
| |
| </td>
| |
| <td>A B C D^^ E^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3335233<br />
| |
| </td>
| |
| <td style="text-align: center;">3|3 #5<br />
| |
| </td>
| |
| <td>A B C D E^^ F^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333523<br />
| |
| </td>
| |
| <td style="text-align: center;">2|4 #6<br />
| |
| </td>
| |
| <td>A B C D E F^^ G^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3333352<br />
| |
| </td>
| |
| <td style="text-align: center;">1|5 #7<br />
| |
| </td>
| |
| <td>A B C D E F G^^<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2333335<br />
| |
| </td>
| |
| <td style="text-align: center;">0|6 b2b3b4b5b6b7<br />
| |
| </td>
| |
| <td>A Bv Cv Dv Ev Fv Gv<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''Note: Contains a broken 4/3 chain so it has only 3 4/3s''' |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Porcupine[7] and its MODMOS's-Notable double-alteration MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:12 -->Notable double-alteration MODMOS's</h2>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | ! style="text-align: center;" | 22edo steps |
| </td>
| | ! style="text-align: center;" | 15edo steps |
| <td style="text-align: center;">UDP Name<br />
| | ! style="text-align: center;" | UDP name |
| </td>
| | ! Spelling |
| <td>Spelling<br />
| | ! style="text-align: center;" | Other notes |
| </td>
| | |- |
| <td style="text-align: center;">Other Notes<br />
| | | style="text-align: center;" | 5233333 |
| </td>
| | | style="text-align: center;" | 4122222 |
| </tr>
| | | style="text-align: center;" | 6{{pipe}}0 ^2 |
| <tr>
| | | G A^ B C D E F |
| <td style="text-align: center;">4324342<br />
| | | style="text-align: center;" | |
| </td>
| | |- |
| <td style="text-align: center;">6|0 b4 #7<br />
| | | style="text-align: center;" | 3523333 |
| </td>
| | | style="text-align: center;" | 2412222 |
| <td>A B^ C^ D E^ F^ G^^<br />
| | | style="text-align: center;" | 5{{pipe}}1 ^3 |
| </td>
| | | G Av B^ C D E F |
| <td>JI Major Scale<br />
| | | style="text-align: center;" | |
| </td>
| | |- |
| </tr>
| | | style="text-align: center;" | 3352333 |
| </table>
| | | style="text-align: center;" | 2241222 |
| | | style="text-align: center;" | 4{{pipe}}2 ^4 |
| | | G Av Bv C^ D E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3335233 |
| | | style="text-align: center;" | 2224122 |
| | | style="text-align: center;" | 3{{pipe}}3 ^5 |
| | | G Av Bv Cv D^ E F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333523 |
| | | style="text-align: center;" | 2222412 |
| | | style="text-align: center;" | 2{{pipe}}4 ^6 |
| | | G Av Bv Cv Dv E^ F |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 3333352 |
| | | style="text-align: center;" | 2222241 |
| | | style="text-align: center;" | 1{{pipe}}5 ^7 |
| | | G Av Bv Cv Dv Ev F^ |
| | | style="text-align: center;" | |
| | |- |
| | | style="text-align: center;" | 2333335 |
| | | style="text-align: center;" | 1222224 |
| | | style="text-align: center;" | 0{{pipe}}6 v2v3v4v5v6v7 |
| | | G Avv Bvv Cvv Dvv Evv Fvv |
| | | style="text-align: center;" | |
| | |} |
|
| |
|
| <br />
| | === Notable double-alteration MODMOS's === |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Porcupine[8] and its MODMOS's"></a><!-- ws:end:WikiTextHeadingRule:14 -->Porcupine[8] and its MODMOS's</h1>
| | {| class="wikitable" |
| All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).<br />
| | |- |
| <br />
| | ! style="text-align: center;" | 22edo steps |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Porcupine[8] and its MODMOS's-The Porcupine[8] MOS"></a><!-- ws:end:WikiTextHeadingRule:16 -->The Porcupine[8] MOS</h2>
| | ! style="text-align: center;" | 15edo steps |
|
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 4324342 |
| | | style="text-align: center;" | 3213231 |
| | | style="text-align: center;" | 6{{pipe}}0 v4 ^7 |
| | | G A B Cv D E F^ |
| | | "JI Major" scale a.k.a. Ptolemy/Zarlino |
| | |- |
| | | style="text-align: center;" | 4234243 |
| | | style="text-align: center;" | 3123132 |
| | | style="text-align: center;" | 3{{pipe}}3 ^2 v6 |
| | | G A Bv Cv D Ev F |
| | | "JI Minor" scale |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == Porcupine[8] and its MODMOS's == |
| <tr>
| | All generators below refer to the porcupine[8] bright generator (the 10/9~11/10~whatever). |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td style="text-align: center;">Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33333331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0<br />
| |
| </td>
| |
| <td>A B C D E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33333313<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1<br />
| |
| </td>
| |
| <td>A B C D E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33333133<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2<br />
| |
| </td>
| |
| <td>A B C D E F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33331333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3<br />
| |
| </td>
| |
| <td>A B C D E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4<br />
| |
| </td>
| |
| <td>A B C D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33133333<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5<br />
| |
| </td>
| |
| <td>A B C Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31333333<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Similarly to Porcupine[7], William Lynch has proposed naming the modes off of sea creatures, with Octopus being relevant to the number eight. |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Porcupine[8] and its MODMOS's-Single-alteration MODMOS's (alterations by porcupine[8] chroma)"></a><!-- ws:end:WikiTextHeadingRule:18 -->Single-alteration MODMOS's (alterations by porcupine[8] chroma)</h2>
| |
| <strong>MODMOS with 2nd note in generator chain flattened:</strong> <strong>#......</strong><strong>#.</strong><strong>######</strong><br />
| |
|
| |
|
| | Functional mode names are proposed based on the 3-step triads, which may be augmented (~9:12:16), major (~3:4:5) or minor (~12:15:20). However, it can also useful to look at a different functional system in which the octatonic MOS modes extend the heptatonic ones by adding one extra note. |
|
| |
|
| <table class="wiki_table">
| | === The Porcupine[8] MOS === |
| <tr>
| | {| class="wikitable" |
| <td style="text-align: center;">Step Pattern<br />
| | |- |
| </td>
| | ! Functional Name |
| <td style="text-align: center;">UDP Name<br />
| | ! William's Name |
| </td>
| | ! style="text-align: center;" | Step pattern |
| <td>Spelling<br />
| | ! style="text-align: center;" | UDP name |
| </td>
| | ! Traditional Spelling |
| <td>Other Notes<br />
| | ! Triad qualities (3-step triads) |
| </td>
| | ! style="text-align: center;" | Other notes |
| </tr>
| | |- |
| <tr>
| | | Bright augmented |
| <td style="text-align: center;">15333331<br />
| | | Octopus |
| </td>
| | | style="text-align: center;" | 33333331 |
| <td style="text-align: center;">7|0 b2<br />
| | | style="text-align: center;" | 7{{pipe}}0 |
| </td>
| | | A B C D E F G H |
| <td>A Bb C D E F G H<br />
| | | I+ II+ III IV V vi vii viii |
| </td>
| | | |
| <td><br />
| | |- |
| </td>
| | | Dark augmented |
| </tr>
| | | Mantis |
| <tr>
| | | style="text-align: center;" | 33333313 |
| <td style="text-align: center;">53333311<br />
| | | style="text-align: center;" | 6{{pipe}}1 |
| </td>
| | | A B C D E F G Hb |
| <td style="text-align: center;">7|0 #2#3#4#5#6#7<br />
| | | I+ II III IV v vi vii VIII+ |
| </td>
| | | |
| <td>A B# C# D# E# F# G# H<br />
| | |- |
| </td>
| | | Bright major |
| <td><br />
| | | Dolphin |
| </td>
| | | style="text-align: center;" | 33333133 |
| </tr>
| | | style="text-align: center;" | 5{{pipe}}2 |
| <tr>
| | | A B C D E F Gb Hb |
| <td style="text-align: center;">33333115<br />
| | | I II III iv v vi VII+ VIII+ |
| </td>
| | | |
| <td style="text-align: center;">5|2 b8<br />
| | |- |
| </td>
| | | Middle major |
| <td>A B C D E F Gb Hbb<br />
| | | Crab |
| </td>
| | | style="text-align: center;" | 33331333 |
| <td><br />
| | | style="text-align: center;" | 4{{pipe}}3 |
| </td>
| | | A B C D E Fb Gb Hb |
| </tr>
| | | I II iii iv v VI+ VII+ VII |
| <tr>
| | | 10:12:15 on the tonic |
| <td style="text-align: center;">33331153<br />
| | Has both 4/3 and 3/2 |
| </td>
| | |- |
| <td style="text-align: center;">4|3 b7<br />
| | | Dark major |
| </td>
| | | Tuna |
| <td>A B C D E Fb Gbb Hb<br />
| | | style="text-align: center;" | 33313333 |
| </td>
| | | style="text-align: center;" | 3{{pipe}}4 |
| <td><br />
| | | A B C D Eb Fb Gb Hb |
| </td>
| | | I ii iii iv V+ VI+ VII VIII |
| </tr>
| | | 10:12:15 on the tonic |
| <tr>
| | Has both 4/3 and 3/2 |
| <td style="text-align: center;">33311533<br />
| | |- |
| </td>
| | | Bright minor |
| <td style="text-align: center;">3|4 b6<br />
| | | Salmon |
| </td>
| | | style="text-align: center;" | 33133333 |
| <td>A B C D Eb Fbb Gb Hb<br />
| | | style="text-align: center;" | 2{{pipe}}5 |
| </td>
| | | A B C Db Eb Fb Gb Hb |
| <td><br />
| | | i ii iii IV+ V+ VI VII VIII |
| </td>
| | | 8:10:11:12 and 10:12:15 on the tonic |
| </tr>
| | |- |
| <tr>
| | | Middle minor |
| <td style="text-align: center;">33115333<br />
| | | Starfish |
| </td>
| | | style="text-align: center;" | 31333333 |
| <td style="text-align: center;">2|5 b5<br />
| | | style="text-align: center;" | 1{{pipe}}6 |
| </td>
| | | A B Cb Db Eb Fb Gb Hb |
| <td>A B C Db Ebb Fb Gb Hb<br />
| | | i ii III+ IV+ V VI VII viii |
| </td>
| | | 8:9:10:11:12 on the tonic |
| <td><br />
| | |- |
| </td>
| | | Dark minor |
| </tr>
| | | Whale |
| <tr>
| | | style="text-align: center;" | 13333333 |
| <td style="text-align: center;">31153333<br />
| | | style="text-align: center;" | 0{{pipe}}7 |
| </td>
| | | A Bb Cb Db Eb Fb Gb Hb |
| <td style="text-align: center;">1|6 b4<br />
| | | i II+ III+ IV V VI vii viii |
| </td>
| | | 8:9:10:11:12 on the tonic |
| <td>A B Cb Dbb Eb Fb Gb Hb<br />
| | |} |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">11533333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b3<br />
| |
| </td>
| |
| <td>A Bb Cbb Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | === Single-alteration MODMOSes === |
| <strong>MODMOS with 3rd note in generator chain flattened:</strong> <strong>#.....</strong><strong>##.</strong><strong>#####</strong><br />
| | ==== Alterations by Porcupine[8] chroma ==== |
| | '''MODMOS with 2nd note in generator chain flattened:''' '''#......''''''#.''''''######''' |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 15333331 |
| | | style="text-align: center;" | 7{{pipe}}0 b2 |
| | | A Bb C D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 53333311 |
| | | style="text-align: center;" | 7{{pipe}}0 #2#3#4#5#6#7 |
| | | A B# C# D# E# F# G# H |
| | | |
| | |- |
| | | style="text-align: center;" | 33333115 |
| | | style="text-align: center;" | 5{{pipe}}2 b8 |
| | | A B C D E F Gb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 33331153 |
| | | style="text-align: center;" | 4{{pipe}}3 b7 |
| | | A B C D E Fb Gbb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33311533 |
| | | style="text-align: center;" | 3{{pipe}}4 b6 |
| | | A B C D Eb Fbb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33115333 |
| | | style="text-align: center;" | 2{{pipe}}5 b5 |
| | | A B C Db Ebb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31153333 |
| | | style="text-align: center;" | 1{{pipe}}6 b4 |
| | | A B Cb Dbb Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 11533333 |
| | | style="text-align: center;" | 0{{pipe}}7 b3 |
| | | A Bb Cbb Db Eb Fb Gb Hb |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 3rd note in generator chain flattened:''' '''#.....''''''##.''''''#####''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31533331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 b3<br />
| |
| </td>
| |
| <td>A B Cb D E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15333313<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 b2<br />
| |
| </td>
| |
| <td>A Bb C D E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">53333131<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #2#3#4#5#6<br />
| |
| </td>
| |
| <td>A B# C# D# E# F# G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33331315<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 b8<br />
| |
| </td>
| |
| <td>A B C D E Fb Gb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313153<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 b7<br />
| |
| </td>
| |
| <td>A B C D Eb Fb Gbb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33131533<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 b6<br />
| |
| </td>
| |
| <td>A B C Db Eb Fbb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31315333<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 b5<br />
| |
| </td>
| |
| <td>A B Cb Db Ebb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13153333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b4<br />
| |
| </td>
| |
| <td>A Bb Cb Dbb Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| <strong>MODMOS with 4th note in generator chain flattened:</strong> <strong>#....</strong><strong>##</strong><strong>#.####</strong><br />
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 31533331 |
| | | style="text-align: center;" | 7{{pipe}}0 b3 |
| | | A B Cb D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 15333313 |
| | | style="text-align: center;" | 6{{pipe}}1 b2 |
| | | A Bb C D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 53333131 |
| | | style="text-align: center;" | 7{{pipe}}0 #2#3#4#5#6 |
| | | A B# C# D# E# F# G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33331315 |
| | | style="text-align: center;" | 4{{pipe}}3 b8 |
| | | A B C D E Fb Gb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 33313153 |
| | | style="text-align: center;" | 3{{pipe}}4 b7 |
| | | A B C D Eb Fb Gbb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33131533 |
| | | style="text-align: center;" | 2{{pipe}}5 b6 |
| | | A B C Db Eb Fbb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31315333 |
| | | style="text-align: center;" | 1{{pipe}}6 b5 |
| | | A B Cb Db Ebb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13153333 |
| | | style="text-align: center;" | 0{{pipe}}7 b4 |
| | | A Bb Cb Dbb Eb Fb Gb Hb |
| | | |
| | |} |
|
| |
|
| | '''MODMOS with 4th note in generator chain flattened:''' '''#....''''''##''''''#.####''' |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | ! style="text-align: center;" | Step pattern |
| </td>
| | ! style="text-align: center;" | UDP name |
| <td style="text-align: center;">UDP Name<br />
| | ! Spelling |
| </td>
| | ! Other Notes |
| <td>Spelling<br />
| | |- |
| </td>
| | | style="text-align: center;" | 33153331 |
| <td>Other Notes<br />
| | | style="text-align: center;" | 7{{pipe}}0 b4 |
| </td>
| | | A B C Db E F G H |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">33153331<br />
| | | style="text-align: center;" | 31533313 |
| </td>
| | | style="text-align: center;" | 6{{pipe}}1 b3 |
| <td style="text-align: center;">7|0 b4<br />
| | | A B Cb D E F G Hb |
| </td>
| | | |
| <td>A B C Db E F G H<br />
| | |- |
| </td>
| | | style="text-align: center;" | 15333133 |
| <td><br />
| | | style="text-align: center;" | 5{{pipe}}2 b2 |
| </td>
| | | A Bb C D E F Gb Hb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">31533313<br />
| | | style="text-align: center;" | 53331331 |
| </td>
| | | style="text-align: center;" | 7{{pipe}}0 #2#3#4#5 |
| <td style="text-align: center;">6|1 b3<br />
| | | A B# C# D# E# F G H |
| </td>
| | | |
| <td>A B Cb D E F G Hb<br />
| | |- |
| </td>
| | | style="text-align: center;" | 33313315 |
| <td><br />
| | | style="text-align: center;" | 3{{pipe}}4 b8 |
| </td>
| | | A B C D Eb Fb Gb Hbb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">15333133<br />
| | | style="text-align: center;" | 33133153 |
| </td>
| | | style="text-align: center;" | 2{{pipe}}5 b7 |
| <td style="text-align: center;">5|2 b2<br />
| | | A B C Db Eb Fb Gbb Hb |
| </td>
| | | |
| <td>A Bb C D E F Gb Hb<br />
| | |- |
| </td>
| | | style="text-align: center;" | 31331533 |
| <td><br />
| | | style="text-align: center;" | 1{{pipe}}6 b6 |
| </td>
| | | A B Cb Db Eb Fbb Gb Hb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">53331331<br />
| | | style="text-align: center;" | 13315333 |
| </td>
| | | style="text-align: center;" | 0{{pipe}}7 b5 |
| <td style="text-align: center;">7|0 #2#3#4#5<br />
| | | A Bb Cb Db Ebb Fb Gb Hb |
| </td>
| | | |
| <td>A B# C# D# E# F G H<br />
| | |} |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313315<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 b8<br />
| |
| </td>
| |
| <td>A B C D Eb Fb Gb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33133153<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 b7<br />
| |
| </td>
| |
| <td>A B C Db Eb Fb Gbb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31331533<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 b6<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fbb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13315333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b5<br />
| |
| </td>
| |
| <td>A Bb Cb Db Ebb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''MODMOS with 5th note in generator chain flattened:''' '''#...''''''##''''''##.###''' |
| <strong>MODMOS with 5th note in generator chain flattened:</strong> <strong>#...</strong><strong>##</strong><strong>##.###</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 33315331 |
| | | style="text-align: center;" | 7{{pipe}}0 b5 |
| | | A B C D Eb F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33153313 |
| | | style="text-align: center;" | 6{{pipe}}1 b4 |
| | | A B C Db E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31533133 |
| | | style="text-align: center;" | 5{{pipe}}2 b3 |
| | | A B Cb D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 15331333 |
| | | style="text-align: center;" | 4{{pipe}}3 b2 |
| | | A Bb C D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 53313331 |
| | | style="text-align: center;" | 7{{pipe}}0 #2#3#4 |
| | | A B# C# D# E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33133315 |
| | | style="text-align: center;" | 2{{pipe}}5 b8 |
| | | A B C Db Eb Fb Gb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 31333153 |
| | | style="text-align: center;" | 1{{pipe}}6 b7 |
| | | A B Cb Db Eb Fb Gbb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13331533 |
| | | style="text-align: center;" | 0{{pipe}}7 b6 |
| | | A Bb Cb Db Eb Fbb Gb Hb |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 6th note in generator chain flattened:''' '''#..''''''##''''''###.##''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33315331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 b5<br />
| |
| </td>
| |
| <td>A B C D Eb F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33153313<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 b4<br />
| |
| </td>
| |
| <td>A B C Db E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31533133<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 b3<br />
| |
| </td>
| |
| <td>A B Cb D E F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15331333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 b2<br />
| |
| </td>
| |
| <td>A Bb C D E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">53313331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #2#3#4<br />
| |
| </td>
| |
| <td>A B# C# D# E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33133315<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 b8<br />
| |
| </td>
| |
| <td>A B C Db Eb Fb Gb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31333153<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 b7<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fb Gbb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13331533<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b6<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fbb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| <strong>MODMOS with 6th note in generator chain flattened:</strong> <strong>#..</strong><strong>##</strong><strong>###.##</strong><br />
| | |- |
| | ! Functional name |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name #1 |
| | ! style="text-align: center;" | UDP name #2 |
| | ! Spelling |
| | ! Triad qualities (3-step triads) |
| | ! Other Notes |
| | |- |
| | | Bright augmented b6 |
| | | style="text-align: center;" | 33331531 |
| | | style="text-align: center;" | 7{{pipe}}0 b6 |
| | | style="text-align: center;" | 4{{pipe}}3 #7#8 |
| | | A B C D E Fb G H |
| | | I+ II+ iii IV V VI+ vii viiiº |
| | | 10:12:15 on tonic |
| | |- |
| | | Dark augmented b5 |
| | | style="text-align: center;" | 33315313 |
| | | style="text-align: center;" | 6{{pipe}}1 b5 |
| | | style="text-align: center;" | 3{{pipe}}4 #6#7 |
| | | A B C D Eb F G Hb |
| | | I+ ii III IV V+ vi viiº VIII+ |
| | | |
| | |- |
| | | Bright minor #5#6 |
| | | style="text-align: center;" | 33153133 |
| | | style="text-align: center;" | 5{{pipe}}2 b4 |
| | | style="text-align: center;" | 2{{pipe}}5 #5#6 |
| | | A B C Db E F Gb Hb |
| | | i II III IV+ v viº VII+ VIII+ |
| | | |
| | |- |
| | | Middle major b3 |
| | | style="text-align: center;" | 31531333 |
| | | style="text-align: center;" | 4{{pipe}}3 b3 |
| | | style="text-align: center;" | 1{{pipe}}6 #4#5 |
| | | A B Cb D E Fb Gb Hb |
| | | I II III+ iv vº VI+ VII+ viii |
| | | Has both 4/3 and 3/2 |
| | |- |
| | | Dark major b2 |
| | | style="text-align: center;" | 15313333 |
| | | style="text-align: center;" | 3{{pipe}}4 b2 |
| | | style="text-align: center;" | 0{{pipe}}7 #3#4 |
| | | A Bb C D Eb Fb Gb Hb |
| | | I III+ iii ivº V+ VI+ vii VIII |
| | | 10:12:15 on the tonic |
| | Has both 4/3 and 3/2 |
| | |- |
| | | Bright augmented #2#3 |
| | | style="text-align: center;" | 53313331 |
| | | style="text-align: center;" | |
| | | style="text-align: center;" | 7{{pipe}}0 #2#3 |
| | | A B# C# D E F G H |
| | | I+ ii iiiº IV+ V+ vi VII VIII+ |
| | | |
| | |- |
| | | Middle minor b8 |
| | | style="text-align: center;" | 33133315 |
| | | style="text-align: center;" | 2{{pipe}}5 b8 |
| | | |
| | | A B Cb Db Eb Fb Gb Hbb |
| | | i iiº III+ IV+ v VI VII+ VIII+ |
| | | 8:9:10:11:12 on the tonic |
| | |- |
| | | Bright diminished |
| | | style="text-align: center;" | 31333153 |
| | | style="text-align: center;" | 1{{pipe}}6 b7 |
| | | |
| | | A Bb Cb Db Eb Fb Gbb Hb |
| | | iº II+ III+ iv V VI+ VII+ viii |
| | | 8:9:10:11:12 on the tonic |
| | |} |
|
| |
|
| | '''MODMOS with 7th note in generator chain flattened or 2nd sharpened:''' '''#.''''''##''''''####.#''' |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | ! Functional name |
| </td>
| | ! style="text-align: center;" | Step pattern |
| <td style="text-align: center;">UDP Name<br />
| | ! style="text-align: center;" | UDP name #1 |
| </td>
| | ! style="text-align: center;" | UDP name #2 |
| <td>Spelling<br />
| | ! Spelling |
| </td>
| | ! Triad qualities (3-step triads) |
| <td>Other Notes<br />
| | ! Other Notes |
| </td>
| | |- |
| </tr>
| | | Bright major #8 |
| <tr>
| | | style="text-align: center;" | 33333151 |
| <td style="text-align: center;">33331531<br />
| | | style="text-align: center;" | 7{{pipe}}0 b7 |
| </td>
| | | style="text-align: center;" | 5{{pipe}}2 #8 |
| <td style="text-align: center;">7|0 b6<br />
| | | A B C D E F Gb H |
| </td>
| | | I II+ III iv V vi VII+ viii |
| <td>A B C D E Fb G H<br />
| | | Brightest major with all consonant 3-step triads |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33315313<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 b5<br />
| |
| </td>
| |
| <td>A B C D Eb F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33153133<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 b4<br />
| |
| </td>
| |
| <td>A B C Db E F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31531333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 b3<br />
| |
| </td>
| |
| <td>A B Cb D E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15313333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 b2<br />
| |
| </td>
| |
| <td>A Bb C D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">53313331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #2#3<br />
| |
| </td>
| |
| <td>A B# C# D E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33133315<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 b8<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fb Gb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31333153<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b7<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb Gbb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Major triads on 1/1, 6/5, 36/25 (with roots on 4/3, 8/5, 48/25) |
| <strong>MODMOS with 7th note in generator chain flattened or 2nd sharpened:</strong> <strong>#.</strong><strong>##</strong><strong>####.#</strong><br />
| |
|
| |
|
| | Minor triads on 4/3, 8/5, 48/25 (with roots on 10/9, 4/3, 8/5) |
| | |- |
| | | Dark augmented b6 |
| | | style="text-align: center;" | 33331513 |
| | | style="text-align: center;" | 6{{pipe}}1 b6 |
| | | style="text-align: center;" | 4{{pipe}}3 #7 |
| | | A B C D E Fb G Hb |
| | | I+ II iii IV v VI+ vii VIII |
| | | 10:12:15 on the tonic |
| | Has both 4/3 and 3/2 |
| | |- |
| | | Bright major b5, Dark major #6 |
| | | style="text-align: center;" | 33315133 |
| | | style="text-align: center;" | 5{{pipe}}2 b5 |
| | | style="text-align: center;" | 3{{pipe}}4 #6 |
| | | A B C D Eb F Gb Hb |
| | | I ii III iv V+ vi VII VIII+ |
| | | Major triads on 1/1, 6/5, 5/3 (with roots on 4/3, 8/5, 10/9) |
|
| |
|
| <table class="wiki_table">
| | Minor triads on 10/9, 4/3, 8/5 (with roots on 9/5, 10/9, 4/3) |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Bright minor #5 |
| </td>
| | | style="text-align: center;" | 33151333 |
| <td style="text-align: center;">UDP Name<br />
| | | style="text-align: center;" | 4{{pipe}}3 b4 |
| </td>
| | | style="text-align: center;" | 2{{pipe}}5 #5 |
| <td>Spelling<br />
| | | A B C Db E Fb Gb Hb |
| </td>
| | | i II iii IV+ v VI VII+ VIII |
| <td>Other Notes<br />
| | | Brightest minor with all consonant 3-step triads |
| </td>
| | Major triads on 10/9, 3/2, 9/5 (with roots on 36/25, 1/1, 6/5) |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33333151<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 b7<br />
| |
| </td>
| |
| <td>A B C D E F Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33331513<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 b6<br />
| |
| </td>
| |
| <td>A B C D E Fb G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33315133<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 b5<br />
| |
| </td>
| |
| <td>A B C D Eb F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33151333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 b4<br />
| |
| </td>
| |
| <td>A B C Db E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31513333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 b3<br />
| |
| </td>
| |
| <td>A B Cb D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15133333<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 b2<br />
| |
| </td>
| |
| <td>A Bb C Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51333331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #2<br />
| |
| </td>
| |
| <td>A B# C D E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333315<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b8<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb Gb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Minor triads on 1/1, 6/5, 36/25 (with roots on 5/3, 1/1, 6/5) |
| <strong>MODMOS with 3rd note in generator chain sharpened:</strong> <strong>##.</strong><strong>#</strong><strong>####..#</strong><br />
| | |- |
| | | Dark major v3 |
| | | style="text-align: center;" | 31513333 |
| | | style="text-align: center;" | 3{{pipe}}4 b3 |
| | | style="text-align: center;" | 1{{pipe}}6 #4 |
| | | A B Cb D Eb Fb Gb Hb |
| | | I ii III+ iv V VI+ VII viii |
| | | Major triads on 1/1, 25/18, 5/3 (with roots on 4/3, 9/5, 10/9) |
|
| |
|
| | Minor triads on 10/9, 4/3, 9/5 (with roots on 9/5, 10/9, 3/2) |
|
| |
|
| <table class="wiki_table">
| | Has both 4/3 and 3/2 |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | | Bright minor b2, Dark minor #3 |
| </td>
| | | style="text-align: center;" | 15133333 |
| <td style="text-align: center;">UDP Name<br />
| | | style="text-align: center;" | 2{{pipe}}5 b2 |
| </td>
| | | style="text-align: center;" | 0{{pipe}}7 #3 |
| <td>Spelling<br />
| | | A Bb C Db Eb Fb Gb Hb |
| </td>
| | | i II+ iii IV V+ VI vii VIII |
| <td>Other Notes<br />
| | | 8:10:11:12 and 10:12:15 on the tonic |
| </td>
| | Major triads on 5/4, 3/2, 9/5 (with roots on 5/3, 1/1, 6/5) |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">35133331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #3<br />
| |
| </td>
| |
| <td>A B C# D E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51333313<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 #2<br />
| |
| </td>
| |
| <td>A B# C D E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333135<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b7b8<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb Gbb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33331351<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 #8<br />
| |
| </td>
| |
| <td>A B C D E Fb Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313513<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 #7<br />
| |
| </td>
| |
| <td>A B C D Eb Fb G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33135133<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 #6<br />
| |
| </td>
| |
| <td>A B C Db Eb F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31351333<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 #5<br />
| |
| </td>
| |
| <td>A B Cb Db E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13513333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 #4<br />
| |
| </td>
| |
| <td>A Bb Cb D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | Minor triads on 1/1, 6/5, 5/3 (with roots on 5/3, 1/1, 25/18) |
| <strong>MODMOS with 4th note in generator chain sharpened:</strong> <strong>###.</strong><strong>####...#</strong><br />
| | |- |
| | | Bright augmented #2 |
| | | style="text-align: center;" | 51333331 |
| | | style="text-align: center;" | |
| | | style="text-align: center;" | 7{{pipe}}0 #2 |
| | | A B# C D E F G H |
| | | I+ ii III IV+ V vi VII viii |
| | | Brightest mode with all consonant 3-step triads |
| | |- |
| | | Dark minor b8 |
| | | style="text-align: center;" | 13333315 |
| | | style="text-align: center;" | 0{{pipe}}7 b8 |
| | | |
| | | A Bb Cb Db Eb Fb Gb Hbb |
| | | i II III+ IV v VI vii VIII+ |
| | | Darkest mode/minor with all consonant 3-step triads |
| | 8:9:10:11:12 on the tonic (8:9:10:11:12:14 in 15edo) |
|
| |
|
| | Major triads on 25/24, 5/4, 3/2 (with roots on 25/18, 5/3, 1/1) |
|
| |
|
| <table class="wiki_table">
| | Minor triads on 1/1, 25/18, 5/3 (with roots on 5/3, 9/8, 25/18) |
| <tr>
| | |} |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33513331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #4<br />
| |
| </td>
| |
| <td>A B C D# E F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">35133331<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 #3<br />
| |
| </td>
| |
| <td>A B C# D E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51333313<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 #2<br />
| |
| </td>
| |
| <td>A B# C D E F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333135<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b6b7b8<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fbb Gbb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33331351<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 #8<br />
| |
| </td>
| |
| <td>A B C D Eb Fb Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313513<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 #7<br />
| |
| </td>
| |
| <td>A B C Db Eb Fb G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33135133<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 #6<br />
| |
| </td>
| |
| <td>A B Cb Db Eb F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31351333<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 #5<br />
| |
| </td>
| |
| <td>A Bb Cb Db E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''MODMOS with 3rd note in generator chain sharpened:''' '''##.''''''#''''''####..#''' |
| <strong>MODMOS with 5th note in generator chain sharpened:</strong> <strong>####.</strong><strong>###....#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! Functional name |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name #1 |
| | ! style="text-align: center;" | UDP name #2 |
| | ! Spelling |
| | ! Triad qualities (3-step triads) |
| | ! Other Notes |
| | |- |
| | | Bright augmented #3 |
| | | style="text-align: center;" | 35133331 |
| | | style="text-align: center;" | 7{{pipe}}0 #3 |
| | | |
| | | A B C# D E F G H |
| | | I+ II+ iiiº IV V+ vi vii VIII |
| | | |
| | |- |
| | | Dark augmented #2 |
| | | style="text-align: center;" | 51333313 |
| | | style="text-align: center;" | 6{{pipe}}1 #2 |
| | | |
| | | A B# C D E F G Hb |
| | | I+ iiº III IV+ v vi VII VIII+ |
| | | |
| | |- |
| | | Dark diminished |
| | | style="text-align: center;" | 13333135 |
| | | style="text-align: center;" | |
| | | style="text-align: center;" | 0{{pipe}}7 b7b8 |
| | | A Bb Cb Db Eb Fb Gbb Hbb |
| | | iº II III+ iv v VI VII+ VIII+ |
| | | 8:9:10:11:12 on the tonic |
| | 8:9:10:11:12:14 on the tonic in 15edo |
| | |- |
| | | Middle major #8 |
| | | style="text-align: center;" | 33331351 |
| | | style="text-align: center;" | 4{{pipe}}3 #8 |
| | | style="text-align: center;" | 7{{pipe}}0 b6b7 |
| | | A B C D E Fb Gb H |
| | | I II+ iii iv V VI+ VII+ viiiº |
| | | 10:12:15 on the tonic |
| | Has both 4/3 and 3/2 |
| | |- |
| | | Dark augmented b5b6 |
| | | style="text-align: center;" | 33313513 |
| | | style="text-align: center;" | 3{{pipe}}4 #7 |
| | | style="text-align: center;" | 6{{pipe}}1 b5b6 |
| | | A B C D Eb Fb G Hb |
| | | I+ ii iii IV V+ VI+ viiº VIII |
| | | 10:12:15 on the tonic |
| | Has both 4/3 and 3/2 |
| | |- |
| | | Bright minor #6 |
| | | style="text-align: center;" | 33135133 |
| | | style="text-align: center;" | 2{{pipe}}5 #6 |
| | | style="text-align: center;" | 5{{pipe}}2 b4b5 |
| | | A B C Db Eb F Gb Hb |
| | | i ii III IV+ V+ viº VII VIII+ |
| | | |
| | |- |
| | | Middle minor #5 |
| | | style="text-align: center;" | 31351333 |
| | | style="text-align: center;" | 1{{pipe}}6 #5 |
| | | style="text-align: center;" | 4{{pipe}}3 b3b4 |
| | | A B Cb Db E Fb Gb Hb |
| | | i II III+ IV+ vº VI VII+ viii |
| | | 8:9:10:12 on the tonic |
| | |- |
| | | Dark major b2b3 |
| | | style="text-align: center;" | 13513333 |
| | | style="text-align: center;" | 0{{pipe}}7 #4 |
| | | style="text-align: center;" | 3{{pipe}}4 b2b3 |
| | | A Bb Cb D Eb Fb Gb Hb |
| | | I II+ III+ ivº V VI+ vii viii |
| | | Has both 4/3 and 3/2 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 4th note in generator chain sharpened:''' '''###.''''''####...#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33351331<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #5<br />
| |
| </td>
| |
| <td>A B C D E# F G H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33513331<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 #4<br />
| |
| </td>
| |
| <td>A B C D# E F G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">35133313<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 #3<br />
| |
| </td>
| |
| <td>A B C# D E F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51333133<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 #2<br />
| |
| </td>
| |
| <td>A B# C D E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13331335<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b5b6b7b8<br />
| |
| </td>
| |
| <td>A Bb Cb Db Ebb Fbb Gbb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33313351<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 #8<br />
| |
| </td>
| |
| <td>A B C Db Eb Fb Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33133513<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 #7<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fb G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31335133<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 #6<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| <strong>MODMOS with 6th note in generator chain sharpened:</strong> <strong>#####.</strong><strong>##.....#</strong><br />
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 33513331 |
| | | style="text-align: center;" | 7{{pipe}}0 #4 |
| | | A B C D# E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 35133331 |
| | | style="text-align: center;" | 6{{pipe}}1 #3 |
| | | A B C# D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 51333313 |
| | | style="text-align: center;" | 5{{pipe}}2 #2 |
| | | A B# C D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13333135 |
| | | style="text-align: center;" | 0{{pipe}}7 b6b7b8 |
| | | A Bb Cb Db Eb Fbb Gbb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 33331351 |
| | | style="text-align: center;" | 3{{pipe}}4 #8 |
| | | A B C D Eb Fb Gb H |
| | | |
| | |- |
| | | style="text-align: center;" | 33313513 |
| | | style="text-align: center;" | 2{{pipe}}5 #7 |
| | | A B C Db Eb Fb G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33135133 |
| | | style="text-align: center;" | 1{{pipe}}6 #6 |
| | | A B Cb Db Eb F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31351333 |
| | | style="text-align: center;" | 0{{pipe}}7 #5 |
| | | A Bb Cb Db E Fb Gb Hb |
| | | |
| | |} |
|
| |
|
| | '''MODMOS with 5th note in generator chain sharpened:''' '''####.''''''###....#''' |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <td style="text-align: center;">Step Pattern<br />
| | ! style="text-align: center;" | Step pattern |
| </td>
| | ! style="text-align: center;" | UDP name |
| <td style="text-align: center;">UDP Name<br />
| | ! Spelling |
| </td>
| | ! Other Notes |
| <td>Spelling<br />
| | |- |
| </td>
| | | style="text-align: center;" | 33351331 |
| <td>Other Notes<br />
| | | style="text-align: center;" | 7{{pipe}}0 #5 |
| </td>
| | | A B C D E# F G H |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">33335131<br />
| | | style="text-align: center;" | 33513331 |
| </td>
| | | style="text-align: center;" | 6{{pipe}}1 #4 |
| <td style="text-align: center;">7|0 #6<br />
| | | A B C D# E F G Hb |
| </td>
| | | |
| <td>A B C D E F# G H<br />
| | |- |
| </td>
| | | style="text-align: center;" | 35133313 |
| <td><br />
| | | style="text-align: center;" | 5{{pipe}}2 #3 |
| </td>
| | | A B C# D E F Gb Hb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">33351313<br />
| | | style="text-align: center;" | 51333133 |
| </td>
| | | style="text-align: center;" | 4{{pipe}}3 #2 |
| <td style="text-align: center;">6|1 #5<br />
| | | A B# C D E Fb Gb Hb |
| </td>
| | | |
| <td>A B C D E# F G Hb<br />
| | |- |
| </td>
| | | style="text-align: center;" | 13331335 |
| <td><br />
| | | style="text-align: center;" | 0{{pipe}}7 b5b6b7b8 |
| </td>
| | | A Bb Cb Db Ebb Fbb Gbb Hbb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">33513133<br />
| | | style="text-align: center;" | 33313351 |
| </td>
| | | style="text-align: center;" | 2{{pipe}}5 #8 |
| <td style="text-align: center;">5|2 #4<br />
| | | A B C Db Eb Fb Gb H |
| </td>
| | | |
| <td>A B C D# E F Gb Hb<br />
| | |- |
| </td>
| | | style="text-align: center;" | 33133513 |
| <td><br />
| | | style="text-align: center;" | 1{{pipe}}6 #7 |
| </td>
| | | A B Cb Db Eb Fb G Hb |
| </tr>
| | | |
| <tr>
| | |- |
| <td style="text-align: center;">35131333<br />
| | | style="text-align: center;" | 31335133 |
| </td>
| | | style="text-align: center;" | 0{{pipe}}7 #6 |
| <td style="text-align: center;">4|3 #3<br />
| | | A Bb Cb Db Eb F Gb Hb |
| </td>
| | | |
| <td>A B C# D E Fb Gb Hb<br />
| | |} |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51313333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 #2<br />
| |
| </td>
| |
| <td>A B# C D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13133335<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b4b5b6b7b8<br />
| |
| </td>
| |
| <td>A Bb Cb Dbb Ebb Fbb Gbb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">31333351<br />
| |
| </td>
| |
| <td style="text-align: center;">1|6 #8<br />
| |
| </td>
| |
| <td>A B Cb Db Eb Fb Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333513<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 #7<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | '''MODMOS with 6th note in generator chain sharpened:''' '''#####.''''''##.....#''' |
| <strong>MODMOS with 7th note in generator chain sharpened:</strong> <strong>######.</strong><strong>#......#</strong><br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 33335131 |
| | | style="text-align: center;" | 7{{pipe}}0 #6 |
| | | A B C D E F# G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33351313 |
| | | style="text-align: center;" | 6{{pipe}}1 #5 |
| | | A B C D E# F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33513133 |
| | | style="text-align: center;" | 5{{pipe}}2 #4 |
| | | A B C D# E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 35131333 |
| | | style="text-align: center;" | 4{{pipe}}3 #3 |
| | | A B C# D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 51313333 |
| | | style="text-align: center;" | 3{{pipe}}4 #2 |
| | | A B# C D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13133335 |
| | | style="text-align: center;" | 0{{pipe}}7 b4b5b6b7b8 |
| | | A Bb Cb Dbb Ebb Fbb Gbb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 31333351 |
| | | style="text-align: center;" | 1{{pipe}}6 #8 |
| | | A B Cb Db Eb Fb Gb H |
| | | |
| | |- |
| | | style="text-align: center;" | 13333513 |
| | | style="text-align: center;" | 0{{pipe}}7 #7 |
| | | A Bb Cb Db Eb Fb G Hb |
| | | |
| | |} |
|
| |
|
| <table class="wiki_table">
| | '''MODMOS with 7th note in generator chain sharpened:''' '''######.''''''#......#''' |
| <tr>
| |
| <td style="text-align: center;">Step Pattern<br />
| |
| </td>
| |
| <td style="text-align: center;">UDP Name<br />
| |
| </td>
| |
| <td>Spelling<br />
| |
| </td>
| |
| <td>Other Notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33333511<br />
| |
| </td>
| |
| <td style="text-align: center;">7|0 #7<br />
| |
| </td>
| |
| <td>A B C D E F G# H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33335113<br />
| |
| </td>
| |
| <td style="text-align: center;">6|1 #6<br />
| |
| </td>
| |
| <td>A B C D E F# G Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33351133<br />
| |
| </td>
| |
| <td style="text-align: center;">5|2 #5<br />
| |
| </td>
| |
| <td>A B C D E# F Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">33511333<br />
| |
| </td>
| |
| <td style="text-align: center;">4|3 #4<br />
| |
| </td>
| |
| <td>A B C D# E Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">35113333<br />
| |
| </td>
| |
| <td style="text-align: center;">3|4 #3<br />
| |
| </td>
| |
| <td>A B C# D Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">51133333<br />
| |
| </td>
| |
| <td style="text-align: center;">2|5 #2<br />
| |
| </td>
| |
| <td>A B# C Db Eb Fb Gb Hb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">11333335<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 b3b4b5b6b7b8<br />
| |
| </td>
| |
| <td>A Bb Cbb Dbb Ebb Fbb Gbb Hbb<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13333351<br />
| |
| </td>
| |
| <td style="text-align: center;">0|7 #8<br />
| |
| </td>
| |
| <td>A Bb Cb Db Eb Fb Gb H<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! Other Notes |
| | |- |
| | | style="text-align: center;" | 33333511 |
| | | style="text-align: center;" | 7{{pipe}}0 #7 |
| | | A B C D E F G# H |
| | | |
| | |- |
| | | style="text-align: center;" | 33335113 |
| | | style="text-align: center;" | 6{{pipe}}1 #6 |
| | | A B C D E F# G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33351133 |
| | | style="text-align: center;" | 5{{pipe}}2 #5 |
| | | A B C D E# F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33511333 |
| | | style="text-align: center;" | 4{{pipe}}3 #4 |
| | | A B C D# E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 35113333 |
| | | style="text-align: center;" | 3{{pipe}}4 #3 |
| | | A B C# D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 51133333 |
| | | style="text-align: center;" | 2{{pipe}}5 #2 |
| | | A B# C Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 11333335 |
| | | style="text-align: center;" | 0{{pipe}}7 b3b4b5b6b7b8 |
| | | A Bb Cbb Dbb Ebb Fbb Gbb Hbb |
| | | |
| | |- |
| | | style="text-align: center;" | 13333351 |
| | | style="text-align: center;" | 0{{pipe}}7 #8 |
| | | A Bb Cb Db Eb Fb Gb H |
| | | |
| | |} |
| | |
| | ==== Alterations by Porcupine[7] chroma ==== |
| | '''MODMOS with 2nd note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 24333331 |
| | | style="text-align: center;" | 7{{pipe}}0 v2 |
| | | A Bv C D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 43333312 |
| | | style="text-align: center;" | 6{{pipe}}1 ^2^3^4^5^6^7^8 |
| | | A B^ C^ D^ E^ F^ G^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33333124 |
| | | style="text-align: center;" | 5{{pipe}}2 v8 |
| | | A B C D E F Gb Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33331243 |
| | | style="text-align: center;" | 4{{pipe}}3 v7 |
| | | A B C D E Fb Gbv Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33312433 |
| | | style="text-align: center;" | 3{{pipe}}4 v6 |
| | | A B C D Eb Fbv Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33124333 |
| | | style="text-align: center;" | 2{{pipe}}5 v5 |
| | | A B C Db Ebv Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31243333 |
| | | style="text-align: center;" | 1{{pipe}}6 v4 |
| | | A B Cb Dbv Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 12433333 |
| | | style="text-align: center;" | 0{{pipe}}7 v3 |
| | | A Bb Cbv Db Eb Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 3rd note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 32433331 |
| | | style="text-align: center;" | 7{{pipe}}0 v3 |
| | | A B Cv D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 24333313 |
| | | style="text-align: center;" | 6{{pipe}}1 v2 |
| | | A Bv C D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 43333132 |
| | | style="text-align: center;" | 5{{pipe}}2 ^2^3^4^5^6^7^8 |
| | | A B^ C^ D^ E^ F^ Gb^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33331324 |
| | | style="text-align: center;" | 4{{pipe}}3 v8 |
| | | A B C D E Fb Gb Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33313243 |
| | | style="text-align: center;" | 3{{pipe}}4 v7 |
| | | A B C D Eb Fb Gbv Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33132433 |
| | | style="text-align: center;" | 2{{pipe}}5 v6 |
| | | A B C Db Eb Fbv Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31324333 |
| | | style="text-align: center;" | 1{{pipe}}6 v5 |
| | | A B Cb Db Ebv Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13243333 |
| | | style="text-align: center;" | 0{{pipe}}7 v4 |
| | | A Bb Cb Dbv Eb Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 4th note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33243331 |
| | | style="text-align: center;" | 7{{pipe}}0 v4 |
| | | A B C Dv E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 32433313 |
| | | style="text-align: center;" | 6{{pipe}}1 v3 |
| | | A B Cv D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 24333133 |
| | | style="text-align: center;" | 5{{pipe}}2 v2 |
| | | A Bv C D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 43331332 |
| | | style="text-align: center;" | 4{{pipe}}3 ^2^3^4^5^6^7^8 |
| | | A B^ C^ D^ E^ Fb^ Gb^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33313324 |
| | | style="text-align: center;" | 3{{pipe}}4 v8 |
| | | A B C D Eb Fb Gb Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33133243 |
| | | style="text-align: center;" | 2{{pipe}}5 v7 |
| | | A B C Db Eb Fb Gbv Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31332433 |
| | | style="text-align: center;" | 1{{pipe}}6 v6 |
| | | A B Cb Db Eb Fbv Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13324333 |
| | | style="text-align: center;" | 0{{pipe}}7 v5 |
| | | A Bb Cb Db Ebv Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 5th note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33324331 |
| | | style="text-align: center;" | 7{{pipe}}0 v5 |
| | | A B C D Ev F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33243313 |
| | | style="text-align: center;" | 6{{pipe}}1 v4 |
| | | A B C Dv E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 32433133 |
| | | style="text-align: center;" | 5{{pipe}}2 v3 |
| | | A B Cv D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 24331333 |
| | | style="text-align: center;" | 4{{pipe}}3 v2 |
| | | A Bv C D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 43313332 |
| | | style="text-align: center;" | 3{{pipe}}4 ^2^3^4^5^6^7^8 |
| | | A B^ C^ D^ Eb^ Fb^ Gb^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33133324 |
| | | style="text-align: center;" | 2{{pipe}}5 v8 |
| | | A B C Db Eb Fb Gb Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 31333243 |
| | | style="text-align: center;" | 1{{pipe}}6 v7 |
| | | A B Cb Db Eb Fb Gbv Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13332433 |
| | | style="text-align: center;" | 0{{pipe}}7 v6 |
| | | A Bb Cb Db Eb Fbv Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 6th note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33332431 |
| | | style="text-align: center;" | 7{{pipe}}0 v6 |
| | | A B C D E Fv G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33324313 |
| | | style="text-align: center;" | 6{{pipe}}1 v5 |
| | | A B C D Ev F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33243133 |
| | | style="text-align: center;" | 5{{pipe}}2 v4 |
| | | A B C Dv E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 32431333 |
| | | style="text-align: center;" | 4{{pipe}}3 v3 |
| | | A B Cv D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 24313333 |
| | | style="text-align: center;" | 3{{pipe}}4 v2 |
| | | A Bv C D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 43133332 |
| | | style="text-align: center;" | 2{{pipe}}5 ^2^3^4^5^6^7^8 |
| | | A B^ C^ Db^ Eb^ Fb^ Gb^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 31333324 |
| | | style="text-align: center;" | 1{{pipe}}6 v8 |
| | | A B Cb Db Eb Fb Gb Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 13333243 |
| | | style="text-align: center;" | 0{{pipe}}7 v7 |
| | | A Bb Cb Db Eb Fb Gbv Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 7th note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33333241 |
| | | style="text-align: center;" | 7{{pipe}}0 v7 |
| | | A B C D E F Gv H |
| | | |
| | |- |
| | | style="text-align: center;" | 33332413 |
| | | style="text-align: center;" | 6{{pipe}}1 v6 |
| | | A B C D E Fv G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33324133 |
| | | style="text-align: center;" | 5{{pipe}}2 v5 |
| | | A B C D Ev F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33241333 |
| | | style="text-align: center;" | 4{{pipe}}3 v4 |
| | | A B C Dv E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 32413333 |
| | | style="text-align: center;" | 3{{pipe}}4 v3 |
| | | A B Cv D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 24133333 |
| | | style="text-align: center;" | 2{{pipe}}5 v2 |
| | | A Bv C Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 41333332 |
| | | style="text-align: center;" | 1{{pipe}}6 ^2^3^4^5^6^7^8 |
| | | A B^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 13333324 |
| | | style="text-align: center;" | 0{{pipe}}7 v8 |
| | | A Bb Cb Db Eb Fb Gb Hbv |
| | | |
| | |} |
| | |
| | '''MODMOS with 8th note in generator chain flattened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33333322 |
| | | style="text-align: center;" | 7{{pipe}}0 v8 |
| | | A B C D E F G Hv |
| | | |
| | |- |
| | | style="text-align: center;" | 33333223 |
| | | style="text-align: center;" | 6{{pipe}}1 v7 |
| | | A B C D E F Gv Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33332233 |
| | | style="text-align: center;" | 5{{pipe}}2 v6 |
| | | A B C D E Fv Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33322333 |
| | | style="text-align: center;" | 4{{pipe}}3 v5 |
| | | A B C D Ev Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33223333 |
| | | style="text-align: center;" | 3{{pipe}}4 v4 |
| | | A B C Dv Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 32233333 |
| | | style="text-align: center;" | 2{{pipe}}5 v3 |
| | | A B Cv Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 22333333 |
| | | style="text-align: center;" | 1{{pipe}}6 v2 |
| | | A Bv Cb Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 23333332 |
| | | style="text-align: center;" | 0{{pipe}}7 ^2^3^4^5^6^7^8 |
| | | A Bb^ Cb^ Db^ Eb^ Fb^ Gb^ Hb^ |
| | | |
| | |} |
| | |
| | '''MODMOS with 1st note in generator chain sharpened (in 22edo this gives same modes as flattening 8th note)''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 23333332 |
| | | style="text-align: center;" | 7{{pipe}}0 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dv Ev Fv Gv Hv |
| | | |
| | |- |
| | | style="text-align: center;" | 33333322 |
| | | style="text-align: center;" | 6{{pipe}}1 ^8 |
| | | A B C D E F G Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33333223 |
| | | style="text-align: center;" | 5{{pipe}}2 ^7 |
| | | A B C D E F Gb^ Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33332233 |
| | | style="text-align: center;" | 4{{pipe}}3 ^6 |
| | | A B C D E Fb^ Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33322333 |
| | | style="text-align: center;" | 3{{pipe}}4 ^5 |
| | | A B C D Eb^ Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33223333 |
| | | style="text-align: center;" | 2{{pipe}}5 ^4 |
| | | A B C Db^ Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 32233333 |
| | | style="text-align: center;" | 1{{pipe}}6 ^3 |
| | | A B Cb^ Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 22333333 |
| | | style="text-align: center;" | 0{{pipe}}7 ^2 |
| | | A Bb^ Cb Db Eb Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 2nd note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 42333331 |
| | | style="text-align: center;" | 7{{pipe}}0 ^2 |
| | | A B^ C D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 23333314 |
| | | style="text-align: center;" | 6{{pipe}}1 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dv Ev Fv Gv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33333142 |
| | | style="text-align: center;" | 5{{pipe}}2 ^8 |
| | | A B C D E F Gb Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33331423 |
| | | style="text-align: center;" | 4{{pipe}}3 ^7 |
| | | A B C D E Fb Gb^ Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33314233 |
| | | style="text-align: center;" | 3{{pipe}}4 ^6 |
| | | A B C D Eb Fb^ Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33142333 |
| | | style="text-align: center;" | 2{{pipe}}5 ^5 |
| | | A B C Db Eb^ Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31423333 |
| | | style="text-align: center;" | 1{{pipe}}6 ^4 |
| | | A B Cb Db^ Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 14233333 |
| | | style="text-align: center;" | 0{{pipe}}7 ^3 |
| | | A Bb Cb^ Db Eb Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 3rd note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 34233331 |
| | | style="text-align: center;" | 7{{pipe}}0 ^3 |
| | | A B C^ D E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 42333313 |
| | | style="text-align: center;" | 6{{pipe}}1^2 |
| | | A B^ C D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 23333134 |
| | | style="text-align: center;" | 5{{pipe}}2 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dv Ev Fv Gbv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33331342 |
| | | style="text-align: center;" | 4{{pipe}}3 ^8 |
| | | A B C D E Fb Gb Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33313423 |
| | | style="text-align: center;" | 3{{pipe}}4 ^7 |
| | | A B C D Eb Fb Gb^ Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33134233 |
| | | style="text-align: center;" | 2{{pipe}}5 ^6 |
| | | A B C Db Eb Fb^ Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31342333 |
| | | style="text-align: center;" | 1{{pipe}}6 ^5 |
| | | A B Cb Db Eb^ Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13423333 |
| | | style="text-align: center;" | 0{{pipe}}7 ^4 |
| | | A Bb Cb Db^ Eb Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 4th note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33423331 |
| | | style="text-align: center;" | 7{{pipe}}0 ^4 |
| | | A B C D^ E F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 34233313 |
| | | style="text-align: center;" | 6{{pipe}}1^3 |
| | | A B C^ D E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 42333133 |
| | | style="text-align: center;" | 5{{pipe}}2 ^2 |
| | | A B^ C D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 23331334 |
| | | style="text-align: center;" | 4{{pipe}}3 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dv Ev Fbv Gbv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33313342 |
| | | style="text-align: center;" | 3{{pipe}}4 ^8 |
| | | A B C D Eb Fb Gb Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 33133423 |
| | | style="text-align: center;" | 2{{pipe}}5 ^7 |
| | | A B C Db Eb Fb Gb^ Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 31334233 |
| | | style="text-align: center;" | 1{{pipe}}6 ^6 |
| | | A B Cb Db Eb Fb^ Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13342333 |
| | | style="text-align: center;" | 0{{pipe}}7 ^5 |
| | | A Bb Cb Db Eb^ Fb Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 5th note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33342331 |
| | | style="text-align: center;" | 7{{pipe}}0 ^5 |
| | | A B C D E^ F G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33423313 |
| | | style="text-align: center;" | 6{{pipe}}1^4 |
| | | A B C D^ E F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 34233133 |
| | | style="text-align: center;" | 5{{pipe}}2 ^3 |
| | | A B C^ D E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 42331333 |
| | | style="text-align: center;" | 4{{pipe}}3 ^2 |
| | | A B^ C D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 23313334 |
| | | style="text-align: center;" | 3{{pipe}}4 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dv Ebv Fbv Gbv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 33133342 |
| | | style="text-align: center;" | 2{{pipe}}5 ^8 |
| | | A B C Db Eb Fb Gb Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 31333423 |
| | | style="text-align: center;" | 1{{pipe}}6 ^7 |
| | | A B Cb Db Eb Fb Gb^ Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 13334233 |
| | | style="text-align: center;" | 0{{pipe}}7 ^6 |
| | | A Bb Cb Db Eb Fb^ Gb Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 6th note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33334231 |
| | | style="text-align: center;" | 7{{pipe}}0 ^6 |
| | | A B C D E F^ G H |
| | | |
| | |- |
| | | style="text-align: center;" | 33342313 |
| | | style="text-align: center;" | 6{{pipe}}1 ^5 |
| | | A B C D E^ F G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33423133 |
| | | style="text-align: center;" | 5{{pipe}}2 ^4 |
| | | A B C D^ E F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 34231333 |
| | | style="text-align: center;" | 4{{pipe}}3 ^3 |
| | | A B C^ D E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 42313333 |
| | | style="text-align: center;" | 3{{pipe}}4 ^2 |
| | | A B^ C D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 23133334 |
| | | style="text-align: center;" | 2{{pipe}}5 v2v3v4v5v6v7v8 |
| | | A Bv Cv Dbv Ebv Fbv Gbv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 31333342 |
| | | style="text-align: center;" | 1{{pipe}}6 ^8 |
| | | A B Cb Db Eb Fb Gb Hb^ |
| | | |
| | |- |
| | | style="text-align: center;" | 13333423 |
| | | style="text-align: center;" | 0{{pipe}}7 ^7 |
| | | A Bb Cb Db Eb Fb Gb^ Hb |
| | | |
| | |} |
| | |
| | '''MODMOS with 7th note in generator chain sharpened''' |
| | |
| | {| class="wikitable" |
| | |- |
| | ! style="text-align: center;" | Step pattern |
| | ! style="text-align: center;" | UDP name |
| | ! Spelling |
| | ! style="text-align: center;" | Other notes |
| | |- |
| | | style="text-align: center;" | 33333421 |
| | | style="text-align: center;" | 7{{pipe}}0 ^7 |
| | | A B C D E F G^ H |
| | | |
| | |- |
| | | style="text-align: center;" | 33334213 |
| | | style="text-align: center;" | 6{{pipe}}1 ^6 |
| | | A B C D E F^ G Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33342133 |
| | | style="text-align: center;" | 5{{pipe}}2 ^5 |
| | | A B C D E^ F Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 33421333 |
| | | style="text-align: center;" | 4{{pipe}}3 ^4 |
| | | A B C D^ E Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 34213333 |
| | | style="text-align: center;" | 3{{pipe}}4 ^3 |
| | | A B C^ D Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 42133333 |
| | | style="text-align: center;" | 2{{pipe}}5 ^2 |
| | | A B^ C Db Eb Fb Gb Hb |
| | | |
| | |- |
| | | style="text-align: center;" | 21333334 |
| | | style="text-align: center;" | 1{{pipe}}6 v2v3v4v5v6v7v8 |
| | | A Bv Cbv Dbv Ebv Fbv Gbv Hbv |
| | | |
| | |- |
| | | style="text-align: center;" | 13333342 |
| | | style="text-align: center;" | 0{{pipe}}7 ^8 |
| | | A Bb Cb Db Eb Fb Gb Hb^ |
| | | |
| | |} |
| | |
| | [[Category:Porcupine]] |
| | [[Category:modes]] |