Porcupine temperament modal harmony: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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=Brief Intro to Modal Harmony and MODMOS's=  
=Brief Intro to Modal Harmony and MODMOS's=  
We should have a brief intro to all that
Porcupine is a temperament completely capable of diverse harmony. Using it's MOS in conjunction with it's modmos will allow for some very diverse chordal movement that will still be tonally solid. Porcupine mode and modmos names are based on animal names because none of the scales remotely are similar to any existing mode name from anywhere. The initial four modes: Porcupine, Chinchilla, Zebra, and Dog all contain 3/2 from the root while the latter three: Gazette, 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.


The Modmos of porcupine can be used in conjunction with the regular mos in order to build powerful tonal movement. While each useful modmos has it's 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.
=Reasons Why Porcupine Will Make for The Best Modal Harmony Ever=  
=Reasons Why Porcupine Will Make for The Best Modal Harmony Ever=  
The 7-note MOS of porcupine 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 progessions. 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.
The 7-note MOS of porcupine 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 progessions. 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.
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||= 3324334 ||= 2213223 ||= 0|6 v4 || G Av Bv Cvv Dv Ev Fv ||=  ||
||= 3324334 ||= 2213223 ||= 0|6 v4 || G Av Bv Cvv Dv Ev Fv ||=  ||


&lt;span style="color: #0000ff;"&gt;**MODMOS with 5th note in generator chain flattened: #..####.##**&lt;/span&gt;
&lt;span style="color: #0000ff;"&gt;**MODMOS with 5th note in generator chain flattened: #..####.## Reptiles**&lt;/span&gt;
**Consists of unbroken chains of 4/3s**
**Consists of unbroken chains of 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
|| Mode Name ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4324333 ||= 3213222 ||= 6|0 v4 || G A B Cv D E F ||= I, IV, v, vi "mixolydian-like"* ||
|| Lizard ||= 4324333 ||= 3213222 ||= 6|0 v4 || G A B Cv D E F ||= I, IV, v, vi "mixolydian-like"* ||
||= 3432433 ||= 2321322 ||= 5|1 v5 || G Av B C Dv E F ||=  ||
|| Iguana ||= 3432433 ||= 2321322 ||= 5|1 v5 || G Av B C Dv E F ||=  ||
||= 3343243 ||= 2232132 ||= 4|2 v6 || G Av Bv C D Ev F ||= i, III, VI, vii ||
|| Serpent ||= 3343243 ||= 2232132 ||= 4|2 v6 || G Av Bv C D Ev F ||= i, III, VI, vii ||
||= 3334324 ||= 2223213 ||= 3|3 v7 || G Av Bv Cv D E Fv ||= i, ii, IV, VII "dorian-like" ||
|| Iguana ||= 3334324 ||= 2223213 ||= 3|3 v7 || G Av Bv Cv D E Fv ||= i, ii, IV, VII "dorian-like" ||
||= 4333432 ||= 3222321 ||= 6|0 ^6^7 || G A B C D E^ F^ ||= I, ii, iii, V "ionian-like";
|| Chameleon ||= 4333432 ||= 3222321 ||= 6|0 ^6^7 || G A B C D E^ F^ ||= I, ii, iii, V "ionian-like";
8:9:10:11:12:14:15 on the tonic in 15edo as G-A-B-C-D-E^-F^
8:9:10:11:12:14:15 on the tonic in 15edo as G-A-B-C-D-E^-F^
(but not in 22edo)
(but not in 22edo)
Igliashon finds it the "most grounded",
Igliashon finds it the "most grounded",
and suggests it as a candidate for "default major" ||
and suggests it as a candidate for "default major" ||
||= 2433343 ||= 1322232 ||= 1|5 v2 || G Avv Bv Cv Dv Ev F ||=  ||
|| Crocodile ||= 2433343 ||= 1322232 ||= 1|5 v2 || G Avv Bv Cv Dv Ev F ||=  ||
||= 3243334 ||= 2132223 ||= 0|6 v3 || G Av Bvv Cv Dv Ev Fv ||=  ||
|| Turtle ||= 3243334 ||= 2132223 ||= 0|6 v3 || G Av Bvv Cv Dv Ev Fv ||=  ||
* This kind of name 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.
* 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.


&lt;span style="color: #0000ff;"&gt;**Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#**&lt;/span&gt;
&lt;span style="color: #0000ff;"&gt;**Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.# Farm Animals** &lt;/span&gt;
**Consists of unbroken chains of 4/3s**
**Consists of unbroken chains of 4/3s**
**Has the most evenly-distributed 5-limit triads of all the MODMOSs**
**Has the most evenly-distributed 5-limit triads of all the MODMOSs**
||= 22edo Steps ||= 15edo Steps ||= UDP Name #1 ||= UDP Name #2 || Spelling ||= Other Notes ||
|| Mode Name ||= 22edo Steps ||= 15edo Steps ||= UDP Name #1 ||= UDP Name #2 || Spelling ||= Other Notes ||
||= 4333342 ||= 3222231 ||= 6|0 ^7 ||= (1|5 v1) || G A B C D E F^ ||= I ii° iii iv° V vi vii°
|| Horse ||= 4333342 ||= 3222231 ||= 6|0 ^7 ||= (1|5 v1) || G A B C D E F^ ||= I ii° iii iv° V vi vii°
Major with major V chord (most major-sounding major) ||
Major with major V chord (most major-sounding major) ||
||= 2433334 ||= 1322223 ||= (5|1 ^1) ||= 0|6 v2 || G Avv Bv Cv Dv Ev Fv ||= i° II iii° iv v° VI vii
|| Pig ||= 2433334 ||= 1322223 ||= (5|1 ^1) ||= 0|6 v2 || G Avv Bv Cv Dv Ev Fv ||= i° II iii° iv v° VI vii
Magical seventh ||
Magical seventh ||
||= 4243333 ||= 3132222 ||= 4|2 ^2 ||= 6|0 v3 || G A Bv C D E F ||= i ii° III iv° v vi° VII
|| Sheep ||= 4243333 ||= 3132222 ||= 4|2 ^2 ||= 6|0 v3 || G A Bv C D E F ||= i ii° III iv° v vi° VII
Minor with minor v chord (most minor-sounding minor) ||
Minor with minor v chord (most minor-sounding minor) ||
||= 3424333 ||= 2313222 ||= 3|3 ^3 ||= 5|1 v4 || G Av B Cv D E F ||= I ii iii° IV v° vi vii°
|| Cow ||= 3424333 ||= 2313222 ||= 3|3 ^3 ||= 5|1 v4 || G Av B Cv D E F ||= I ii iii° IV v° vi vii°
Major with major IV chord ||
Major with major IV chord ||
||= 3342433 ||= 2231322 ||= 2|4 ^4 ||= 4|2 v5 || G Av Bv C Dv E F ||= i° II iii iv° V vi° vii
|| Llama ||= 3342433 ||= 2231322 ||= 2|4 ^4 ||= 4|2 v5 || G Av Bv C Dv E F ||= i° II iii iv° V vi° vii
Symmetric diminished ||
Symmetric diminished ||
||= 3334243 ||= 2223132 ||= 1|5 ^5 ||= 3|3 v6 || G Av Bv Cv D Ev F ||= i ii° III iv v° VI vii°
|| Goat ||= 3334243 ||= 2223132 ||= 1|5 ^5 ||= 3|3 v6 || G Av Bv Cv D Ev F ||= i ii° III iv v° VI vii°
Minor with minor iv ||
Minor with minor iv ||
||= 3333424 ||= 2222313 ||= 0|6 ^6 ||= 2|4 v7 || G Av Bv Cv Dv E Fv ||= i° ii iii° IV v vi° VII
|| Rooster ||= 3333424 ||= 2222313 ||= 0|6 ^6 ||= 2|4 v7 || G Av Bv Cv Dv E Fv ||= i° ii iii° IV v vi° VII
Magical seventh ||
Magical seventh ||


&lt;span style="color: #0000ff;"&gt;**MODMOS with 3rd note in generator chain sharpened: ##.####..#**&lt;/span&gt;
&lt;span style="color: #0000ff;"&gt;**MODMOS with 3rd note in generator chain sharpened: ##.####..# Big Cats**&lt;/span&gt;
**Consists of unbroken chains of 4/3s**
**Consists of unbroken chains of 4/3s**
||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
|| Mode Name ||= 22edo Steps ||= 15edo Steps ||= UDP Name || Spelling ||= Other Notes ||
||= 4333423 ||= 3222312 ||= 6|0 ^6 || G A B C D E^ F ||= I, ii, v, VII "mixolydian-like"
|| Lion ||= 4333423 ||= 3222312 ||= 6|0 ^6 || G A B C D E^ F ||= I, ii, v, VII "mixolydian-like"
8:9:10:11:12:14 on the tonic in 15edo only ||
8:9:10:11:12:14 on the tonic in 15edo only ||
||= 3433342 ||= 2322231 ||= 5|1 ^7 || G Av B C D E F^ ||= I, II, iii, vi ||
|| Tiger ||= 3433342 ||= 2322231 ||= 5|1 ^7 || G Av B C D E F^ ||= I, II, iii, vi ||
||= 2343334 ||= 1232223 ||= 0|6 v2 v3 || G Avv Bvv Cv Dv Ev Fv ||=  ||
|| Cougar ||= 2343334 ||= 1232223 ||= 0|6 v2 v3 || G Avv Bvv Cv Dv Ev Fv ||=  ||
||= 4234333 ||= 3123222 ||= 3|3 ^2 || G A Bv Cv D E F ||= i, III, IV, v "dorian-like"
|| Leopard ||= 4234333 ||= 3123222 ||= 3|3 ^2 || G A Bv Cv D E F ||= i, III, IV, v "dorian-like"
Keenan and Igliashon both find this exceptionally beautiful
Keenan and Igliashon both find this exceptionally beautiful
and suggest it as a candidate for default "minor" ||
and suggest it as a candidate for default "minor" ||
||= 3423433 ||= 2312322 ||= 2|4 ^3 || G Av B Cv Dv E F ||=  ||
|| Cheetah ||= 3423433 ||= 2312322 ||= 2|4 ^3 || G Av B Cv Dv E F ||=  ||
||= 3342343 ||= 2231232 ||= 1|5 ^4 || G Av Bv C Dv Ev F ||=  ||
|| Jaguar ||= 3342343 ||= 2231232 ||= 1|5 ^4 || G Av Bv C Dv Ev F ||=  ||
||= 3334234 ||= 2223123 ||= 0|6 ^5 || G Av Bv Cv D Ev Fv ||= i, iv, VI, VII "aeolian-like" ||
|| Panther ||= 3334234 ||= 2223123 ||= 0|6 ^5 || G Av Bv Cv D Ev Fv ||= i, iv, VI, VII "aeolian-like" ||


**MODMOS with 4th note in generator chain sharpened: ###.###...#**
**MODMOS with 4th note in generator chain sharpened: ###.###...#**
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=Porcupine[8] and its MODMOS's=  
=Porcupine[8] and its MODMOS's=  
All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).
All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever). William Lynch Proposes naming the modes off of sea creatures with Octopus being relevant of the number eight.  


==The Porcupine[8] MOS==  
==The Porcupine[8] MOS==  
||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
|| Mode Name ||= Step Pattern ||= UDP Name || Spelling ||= Other Notes ||
||= 33333331 ||= 7|0 || A B C D E F G H ||  ||
|| Octopus ||= 33333331 ||= 7|0 || A B C D E F G H ||  ||
||= 33333313 ||= 6|1 || A B C D E F G Hb ||  ||
|| Mantis ||= 33333313 ||= 6|1 || A B C D E F G Hb ||  ||
||= 33333133 ||= 5|2 || A B C D E F Gb Hb ||  ||
|| Dolphin ||= 33333133 ||= 5|2 || A B C D E F Gb Hb ||  ||
||= 33331333 ||= 4|3 || A B C D E Fb Gb Hb ||  ||
|| Crab ||= 33331333 ||= 4|3 || A B C D E Fb Gb Hb ||  ||
||= 33313333 ||= 3|4 || A B C D Eb Fb Gb Hb ||  ||
|| Tuna ||= 33313333 ||= 3|4 || A B C D Eb Fb Gb Hb ||  ||
||= 33133333 ||= 2|5 || A B C Db Eb Fb Gb Hb ||  ||
|| Salmon ||= 33133333 ||= 2|5 || A B C Db Eb Fb Gb Hb ||  ||
||= 31333333 ||= 1|6 || A B Cb Db Eb Fb Gb Hb ||  ||
|| Starfish ||= 31333333 ||= 1|6 || A B Cb Db Eb Fb Gb Hb ||  ||
||= 13333333 ||= 0|7 || A Bb Cb Db Eb Fb Gb Hb ||  ||
|| Whale ||= 13333333 ||= 0|7 || A Bb Cb Db Eb Fb Gb Hb ||  ||


==Single-alteration MODMOS's==  
==Single-alteration MODMOS's==  
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Brief Intro to Modal Harmony and MODMOS's"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Brief Intro to Modal Harmony and MODMOS's&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Brief Intro to Modal Harmony and MODMOS's"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Brief Intro to Modal Harmony and MODMOS's&lt;/h1&gt;
  We should have a brief intro to all that&lt;br /&gt;
  Porcupine is a temperament completely capable of diverse harmony. Using it's MOS in conjunction with it's modmos will allow for some very diverse chordal movement that will still be tonally solid. Porcupine mode and modmos names are based on animal names because none of the scales remotely are similar to any existing mode name from anywhere. The initial four modes: Porcupine, Chinchilla, Zebra, and Dog all contain 3/2 from the root while the latter three: Gazette, 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. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Modmos of porcupine can be used in conjunction with the regular mos in order to build powerful tonal movement. While each useful modmos has it's 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. &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Reasons Why Porcupine Will Make for The Best Modal Harmony Ever"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Reasons Why Porcupine Will Make for The Best Modal Harmony Ever&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Reasons Why Porcupine Will Make for The Best Modal Harmony Ever"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Reasons Why Porcupine Will Make for The Best Modal Harmony Ever&lt;/h1&gt;
  The 7-note MOS of porcupine 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 progessions. 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.&lt;br /&gt;
  The 7-note MOS of porcupine 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 progessions. 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.&lt;br /&gt;
Line 1,066: Line 1,068:


&lt;br /&gt;
&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;MODMOS with 5th note in generator chain flattened: #..####.##&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;MODMOS with 5th note in generator chain flattened: #..####.## Reptiles&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;


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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Mode Name&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Lizard&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4324333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4324333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Iguana&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3432433&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3432433&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Serpent&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3343243&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3343243&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Iguana&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3334324&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3334324&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Chameleon&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4333432&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4333432&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Crocodile&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2433343&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2433343&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Turtle&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3243334&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3243334&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;ul&gt;&lt;li&gt;This kind of name is obviously stupid because these porcupine scales are not really like the diatonic modes &amp;quot;mixolydian&amp;quot;, &amp;quot;dorian&amp;quot;, etc. As always, feel free to edit if you have some better description.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;This kind of description is obviously stupid because these porcupine scales are not really like the diatonic modes &amp;quot;mixolydian&amp;quot;, &amp;quot;dorian&amp;quot;, etc. As always, feel free to edit if you have some better description.&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.#&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;Symmetrical MODMOS with 2nd note in generator chain sharpened or 6th note flattened: #.#####.# Farm Animals&lt;/strong&gt; &lt;/span&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Has the most evenly-distributed 5-limit triads of all the MODMOSs&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Has the most evenly-distributed 5-limit triads of all the MODMOSs&lt;/strong&gt;&lt;br /&gt;
Line 1,181: Line 1,199:
&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Mode Name&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,195: Line 1,215:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Horse&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4333342&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4333342&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,210: Line 1,232:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Pig&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2433334&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2433334&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Sheep&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4243333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4243333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Cow&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3424333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3424333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Llama&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3342433&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3342433&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Goat&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3334243&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3334243&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Rooster&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3333424&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3333424&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;MODMOS with 3rd note in generator chain sharpened: ##.####..#&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style="color: #0000ff;"&gt;&lt;strong&gt;MODMOS with 3rd note in generator chain sharpened: ##.####..# Big Cats&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;Consists of unbroken chains of 4/3s&lt;/strong&gt;&lt;br /&gt;


Line 1,308: Line 1,342:
&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Mode Name&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;22edo Steps&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Lion&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4333423&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4333423&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,333: Line 1,371:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Tiger&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3433342&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3433342&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Cougar&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2343334&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2343334&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Leopard&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4234333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4234333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Cheetah&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3423433&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3423433&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Jaguar&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3342343&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3342343&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Panther&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3334234&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3334234&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Porcupine[8] and its MODMOS's"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Porcupine[8] and its MODMOS's&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Porcupine[8] and its MODMOS's"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Porcupine[8] and its MODMOS's&lt;/h1&gt;
  All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever).&lt;br /&gt;
  All generators below refer to the porcupine[8] chroma-positive generator (the 10/9~11/10~whatever). William Lynch Proposes naming the modes off of sea creatures with Octopus being relevant of the number eight. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Porcupine[8] and its MODMOS's-The Porcupine[8] MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;The Porcupine[8] MOS&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Porcupine[8] and its MODMOS's-The Porcupine[8] MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;The Porcupine[8] MOS&lt;/h2&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Mode Name&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Step Pattern&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Step Pattern&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,886: Line 1,938:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Octopus&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33333331&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33333331&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Mantis&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33333313&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33333313&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,906: Line 1,962:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Dolphin&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33333133&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33333133&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,916: Line 1,974:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Crab&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33331333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33331333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,926: Line 1,986:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Tuna&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33313333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33313333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,936: Line 1,998:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Salmon&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33133333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33133333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,946: Line 2,010:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Starfish&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;31333333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;31333333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 1,956: Line 2,022:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;Whale&lt;br /&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;13333333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13333333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;