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<span style="display: block; text-align: right;">[[de:Semiphor,_Semaphor,_Godzilla]]</span>
{{interwiki
| en = Semaphore and godzilla
| de = Semiphor, Semaphor, Godzilla
| es =
| ja =
}}
{{Infobox regtemp
| Title = {{nowrap|Semaphore; Godzilla}}
| Subgroups = 2.3.7, 2.3.5.7, 2.3.5.7.13
| Comma basis = [[49/48]] (2.3.7); <br> [[49/48]], [[81/80]] (2.3.5.7); <br> [[49/48]], [[81/80]], [[91/90]] (L7.13)
| Edo join 1 = 5 | Edo join 2 = 19
| Mapping = 1; 2 8 1 11
| Generators = 7/4
| Generators tuning = 947.8
| Optimization method = CWE
| Pergen = (P8, P4/2)
| Color name = Zozoti
| MOS scales = [[4L&nbsp;1s]], [[5L&nbsp;4s]], [[5L&nbsp;9s]], [[5L&nbsp;14s]]
| Odd limit 1 = 9 | Mistuning 1 = 20.5 | Complexity 1 = 9
| Odd limit 2 = 2.3.5.7.13 15 | Mistuning 2 = 20.5 | Complexity 2 = 14
}}
'''Semaphore''', of the [[semaphoresmic clan]], is characterized by [[49/48]] being [[tempering out|tempered out]], so the [[generator]] represents [[7/4]] and [[12/7]] (or [[8/7]] and [[7/6]]) equally. This results in a very low [[complexity]] 2.3.7-[[subgroup]] [[regular temperament|temperament]], with the drawback that most intervals of 7 must be out of tune by at least half of the comma 49/48, or about 18 [[cent]]s. ''Semaphore'' is a play on the words "semi-" and "fourth".


Semaphore, of the [[Semiphore_family|Semiphore family]], is characterized by the vanishing of [[49/48|49/48]], so the generator represents [[8/7|8/7]] and [[7/6|7/6]] equally. This results in a very low [[complexity|complexity]] 2.3.7 [[temperament|temperament]], with the drawback that most intervals of 7 must be out of tune by at least half of the comma 49/48, or about 18 [[cent|cent]]s. Semaphore is a play on the words "semi-" and "fourth."
If the [[5/1|5th harmonic]]'s intervals are desired, [[5/4]] can be sensibly mapped to +8 generators by tempering out [[81/80]], making it a [[Meantone family #Extensions|meantone temperament]]. This temperament is '''godzilla'''. Moreover, the generator can be taken to be [[26/15]], which maps [[13/8]] to +11 generators by tempering out [[91/90]] and [[105/104]]. This extends the temperament to the 2.3.5.7.13 subgroup, with an abundance of harmonic resource and little additional damage.  


If 5 is mapped at all, it can be sensibly mapped to -8 [[generator|generator]]s by [[tempering_out|tempering out]] [[81/80|81/80]], making it a [[Meantone_family#Godzilla|meantone temperament]]. This temperament is called [[Meantone_family#Godzilla|godzilla]].
A more accurate but complex mapping of 5 can be found in [[immunity]], or 5/4 itself can be made the period by tempering out [[128/125]], resulting in [[triforce]].


==Interval chains==
For technical information, see [[Semaphoresmic clan #Semaphore]] and [[Semaphoresmic clan #Godzilla|#Godzilla]]. For a discussion on 11- and 13-limit extensions, see [[Godzilla extensions]].


===Semaphore===
== Interval chains ==
In the following tables, odd harmonics 1–13 and their inverses are in '''bold'''.


{| class="wikitable"
=== Semaphore ===
{| class="wikitable center-1 right-2"
|-
|-
| | 198.46
! # !! Cents* !! Approximate ratios
| | 448.85
| | 699.23
| | 949.62
| | 0
| | 250.38
| | 500.77
| | 751.15
| | 1001.54
|-
|-
| | [[9/8|9/8]]
| 0 || 0.0 || '''1/1'''
| | [[9/7|9/7]]
|-
| | [[3/2|3/2]]
| 1 || 950.7 || '''7/4''', 12/7
| | 12/7~7/4
|-
| | [[1/1|1/1]]
| 2 || 701.4 || '''3/2'''
| | 8/7~7/6
|-
| | [[4/3|4/3]]
| 3 || 452.1 || 9/7, 21/16
| | [[14/9|14/9]]
|-
| | [[16/9|16/9]]
| 4 || 202.8 || '''9/8'''
|-
| 5 || 1153.4 || 27/14, 63/32
|}
|}
<nowiki/>* In 2.3.7-subgroup CWE tuning, octave reduced


===Godzilla===
=== Godzilla ===
{| class="wikitable center-1 right-2"
|-
! # !! Cents* !! Approximate ratios
|-
| 0 || 0.0 || '''1/1'''
|-
| 1 || 948.0 || '''7/4''', 12/7, 26/15
|-
| 2 || 696.0 || '''3/2'''
|-
| 3 || 444.0 || 9/7, 13/10, 21/16
|-
| 4 || 192.0 || '''9/8''', 10/9
|-
| 5 || 1140.0 || 27/14, 39/20, 40/21, 52/27, 63/32
|-
| 6 || 888.0 || 5/3
|-
| 7 || 636.0 || 10/7, 13/9
|-
| 8 || 384.0 || '''5/4'''
|-
| 9 || 132.0 || 13/12, 15/14
|-
| 10 || 1080.0 || 13/7, 15/8
|-
| 11 || 828.0 || '''13/8'''
|-
| 12 || 576.0 || 25/18, 39/28, 45/32
|-
| 13 || 324.0 || 39/32
|-
| 14 || 72.1 || 25/24, 50/49
|}
<nowiki/>* In 2.3.5.7.13-subgroup CWE tuning, octave reduced
 
== Scales ==
Scala files:
* [[Semaphore5]]
* [[Semaphore9]]
* [[Semaphore14]]


{| class="wikitable"
=== 5-note (proper) ===
{| class="wikitable center-all"
|-
! Small ("minor") interval
| 202.8
| 452.1
| 701.4
| 950.7
|-
! [[JI]] intervals represented
| 9/8
| 9/7~13/10
| 3/2
| 7/4~12/7
|-
|-
| | 378.92
! Large ("major") interval
| | 631.56
| 249.3
| | 884.19
| 498.6
| | 1136.83
| 747.9
| | 189.46
| 997.2
| | 442.10
| | 694.73
| | 947.37
| | 0
| | 252.63
| | 505.27
| | 757.90
| | 1010.54
| | 63.17
| | 315.81
| | 568.44
| | 821.08
|-
|-
| | [[5/4|5/4]]~16/13
! JI intervals represented
| | [[10/7|10/7]]~13/9
| 7/6~8/7
| | [[5/3|5/3]]
| 4/3
| | 27/14
| 14/9~20/13
| | 10/9~9/8
| 16/9
| | 9/7~13/10
| | 3/2
| | 12/7~7/4~26/15
| | 1/1
| | 8/7~7/6~15/13
| | 4/3
| | 14/9~20/13
| | 16/9~9/5
| | 28/27~21/20
| | [[6/5|6/5]]
| | [[7/5|7/5]]~18/13
| | [[8/5|8/5]]~13/8
|}
|}


==MOSes==
=== 9-note (improper) ===
{{Main| 5L 4s }}


===5-note (proper)===
{| class="wikitable center-all"
 
{| class="wikitable"
|-
|-
| | Small ("minor") interval
! Small ("minor") interval
| | 198.46
| 60.0
| | 448.85
| 252.0
| | 699.23
| 312.0
| | 949.62
| 504.0
| 564.0
| 756.0
| 816.0
| 1008.0
|-
|-
| | [[JI|JI]] intervals represented
! JI intervals represented
| | 9/8
|  
| | 9/7~13/10
| 7/6~8/7
| | 3/2
| 6/5
| | 12/7~7/4~26/15
| 4/3
| 7/5~18/13
| 14/9~20/13
| 8/5~13/8
| 9/5~16/9
|-
|-
| | Large ("major") interval
! Large ("major") interval
| | 250.38
| 192.0
| | 500.77
| 384.0
| | 751.15
| 444.0
| | 1001.54
| 636.0
| 696.0
| 888.0
| 948.0
| 1140.0
|-
|-
| | JI intervals represented
! JI intervals represented
| | 8/7~7/6~15/13
| 9/8~10/9
| | 4/3
| 5/4
| | 14/9~20/13
| 9/7~13/10
| | 16/9
| 10/7~13/9
| 3/2
| 5/3
| 7/4~12/7
|  
|}
|}


===9-note (improper)===
In 19edo, Godzilla[9] has steps 3 3 1 3 1 3 1 3 1, and contains the following useful scales as subsets:
* Meantone pentic (5 3 5 3 3)
* Altered diatonic I (3 4 3 1 3 4 1)
* Altered diatonic II (3 4 3 1 4 3 1)
* Altered diatonic III (4 3 3 1 4 3 1)
* Altered diatonic IV (3 3 4 1 3 4 1)


{| class="wikitable"
It does not, however, contain the ordinary diatonic scale. Godzilla[9] thus expands on the pentic scale, but in a different way than diatonic scales do.
 
The four heptatonic subsets can be regarded as chromatic alterations of the diatonic scale, or alternatively as variants of Archytas' septimal diatonic scale, but with a greatly exaggerated difference between the two different whole tone sizes. All five of these subsets are very expressive melodically. Godzilla[9] combines all of these and is expressive in its own right; it could even be thought of as 19edo's answer to the well-loved Supra[7] diatonic scale of [[17edo]], as both are improper and made up of whole-tones and third-tones.
 
Like Supra[7], Godzilla[9] is well stocked with subminor and supermajor triads; in this case they can be viewed as 6:7:9 and 10:13:15 since 19edo is a [[The Biosphere|biome]] temperament. Godzilla[9] has only ''one'' each of the more stable 5-limit major and minor triads, which might be considered a drawback, but could also be considered a strength for helping to establish a clearer tonal center (since all triads other than the tonic have tension in them).
 
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.7-subgroup norm-based tunings
|-
|-
| | Small ("minor") interval
! rowspan="2" |  
| | 63.17
! colspan="3" | Euclidean
| | 252.63
| | 315.81
| | 505.27
| | 568.44
| | 757.90
| | 821.08
| | 1010.54
|-
|-
| | JI intervals represented
! Constrained
| |
! Constrained & skewed
| | 8/7~7/6~15/13
! Destretched
| | 6/5
| | 4/3
| | 7/5~18/13
| | 14/9~20/13
| | 8/5~13/8
| | 16/9~9/5
|-
|-
| | Large ("major") interval
! Tenney
| | 189.46
| CTE: ~7/4 = 952.2948{{c}}
| | 378.92
| CWE: ~7/4 = 950.6890{{c}}
| | 442.10
| POTE: ~7/4 = 949.6154{{c}}
| | 631.56
|}
| | 694.73
 
| | 884.19
{| class="wikitable mw-collapsible mw-collapsed"
| | 947.37
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit norm-based tunings
| | 1136.83
|-
! rowspan="2" |  
! colspan="3" | Euclidean
|-
|-
| | JI intervals represented
! Constrained
| | 10/9~9/8
! Constrained & skewed
| | 5/4
! Destretched
| | 9/7~13/10
|-
| | 10/7~13/9
! Tenney
| | 3/2
| CTE: ~7/4 = 948.7959{{c}}
| | 5/3
| CWE: ~7/4 = 947.8216{{c}}
| | 12/7~7/4~26/15
| POTE: ~7/4 = 947.3650{{c}}
| |
|}
|}


In 19edo, godzilla[9] has steps 3 3 1 3 1 3 1 3 1, and contains the following useful scales as subsets:
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.7.13-subgroup norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~7/4 = 948.9311{{c}}
| CWE: ~7/4 = 948.0037{{c}}
| POTE: ~7/4 = 947.5708{{c}}
|}


<ul><li>Meantone pentatonic (5 3 5 3 3).</li><li>Altered diatonic I (3 4 3 1 3 4 1)</li><li>Altered diatonic II (3 4 3 1 4 3 1)</li><li>Altered diatonic III (4 3 3 1 4 3 1)</li><li>Altered diatonic IV (3 3 4 1 3 4 1)</li></ul>
=== Tuning spectrum ===
 
{| class="wikitable center-all left-4"
It does not, however, contain the ordinary diatonic scale. Godzilla[9] thus expands on the pentatonic scale, but in a different way than diatonic scales do.
|-
! Edo <br>generator
! [[Eigenmonzo|Unchanged interval <br>(eigenmonzo)]]*
! Generator (¢)
! Comments
|-
|
| 7/6
| 933.129
|
|-
| [[9edo|7\9]]
|
| 933.333
| 9cff val
|-
| [[14edo|11\14]]
|
| 942.857
| 14cf val, lower bound of 7- and 9-odd-limit diamond monotone
|-
|
| 9/7
| 945.028
|
|-
|
| 7/5
| 945.355
|
|-
|
| 13/7
| 947.170
|
|-
| [[19edo|15\19]]
|
| 947.368
| Lower bound of {{nowrap|no-11}} 13-odd-limit diamond monotone <br>{{nowrap|No-11}} 15-odd-limit diamond monotone (singleton)
|-
|
| 5/3
| 947.393
|
|-
|
| 13/9
| 948.088
|
|-
|
| 5/4
| 948.289
| 7-, 9-odd-limit, {{nowrap|no-11}} 13- and 15-odd-limit minimax
|-
|
| 13/12
| 948.730
|
|-
|
| 13/8
| 949.139
|
|-
| [[24edo|19\24]]
|
| 950.000
|
|-
|
| 3/2
| 950.978
|
|-
|
| 13/10
| 951.405
|
|-
| [[5edo|4\5]]
|
| 960.000
| Upper bound of 7-, 9-odd-limit, and {{nowrap|no-11}} 13-odd-limit diamond monotone
|-
|
| 7/4
| 968.826
|
|}
<nowiki/>* Besides the octave


The four heptatonic subsets can be regarded as chromatic alterations of the diatonic scale, or alternatively as variants of Archytas' septimal diatonic scale, but with a greatly exaggerated difference between the two different whole tone sizes. All five of these subsets are very expressive melodically. Godzilla[9] combines all of these and is expressive in its own right; it could even be thought of as 19edo's answer to the well-loved supra[7] diatonic scale of [[17edo|17edo]], as both are improper and made up of whole-tones and third-tones.
== Music ==
; [[Cameron Bobro]]
* [https://web.archive.org/web/20201127014130/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/GodzillaExample.mp3 ''Godzilla Example'']


Like supra[7], godzilla[9] is well stocked with subminor and supermajor triads; in this case they can be viewed as 6:7:9 and 10:13:15 since 19edo is a [[biome|biome]] temperament. Godzilla[9] has only ''one'' each of the more stable 5-limit major and minor triads, which might be considered a drawback, but could also be considered a strength for helping to establish a clearer tonal center (since all triads other than the tonic have tension in them).
; [[Igliashon Jones]]
====Modal harmony of Godzilla[9]==== 
* [http://tinyurl.com/4uyumk9 "Change is on the Wind"]{{dead link}} in Godzilla[9]
*LLsLsLsLs Megalonian
*LsLLsLsLs Biollantian
*LsLsLLsLs Giganian
*LsLsLsLLs Hedoran
*LsLsLsLsL Ebiran
*sLLsLsLsL Dagahran
*sLsLLsLsL Shockiran
*sLsLsLLsL Gabaran
*sLsLsLsLL Minillan


These names are taken from names of some monsters that appear in the Godzilla franchise.
; [[Roncevaux]]
* [https://web.archive.org/web/20201127013241/http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/S__no_Contratempo_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 ''Só no Contratempo'']
* [https://web.archive.org/web/20201127013653/http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/__O_que_a_gente_quer__em_19_TET__temperamento_Godzilla__9___by_Roncevaux.mp3 ''O que a gente quer'']


One can think of godzilla[9] modes as being built from two pentachords (division of the perfect fourth into four intervals) plus a whole tone. The possible pentachords are LsLs, sLLs, and sLsL.
; [[Starshine]]
* [https://soundcloud.com/starshine99/rins-ufo-ride ''Rin's UFO Ride''] (2020) – in Semaphore[9], 19edo tuning


=Music=
== See also ==
[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/S__no_Contratempo_by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 Só no Contratempo] by [https://soundcloud.com/lois-lancaster/s-no-contratempo Roncevaux (Löis Lancaster)]
* [[Diasem]], a [[maximum variety|max-variety-3]] JI [[detempering]] of semaphore
* [[Semaphore–chromatic equivalence continuum]]


[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/__O_que_a_gente_quer__em_19_TET__temperamento_Godzilla__9___by_Roncevaux.mp3 O que a gente quer] by[https://soundcloud.com/lois-lancaster/o-que-a-gente-quer-em-19-tet Roncevaux]      [[Category:5-tone]]
[[Category:Semaphore| ]] <!-- main article -->
[[Category:9-tone]]
[[Category:Godzilla]] <!-- main article -->
[[Category:godzilla]]
[[Category:Rank-2 temperaments]]
[[Category:mos]]
[[Category:Semaphoresmic clan]]
[[Category:temperament]]
[[Category:Meantone family]]
[[Category:Sensamagic clan]]
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