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Mothra: Difference between revisions

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For technical data, see [[Gamelismic clan #Mothra]].
For technical data, see [[Gamelismic clan #Mothra]].


== Interval chains ==
== Intervals ==
As a strong extension of slendric, mothra's intervals can be expressed using the same system of extended diatonic interval naming [[Slendric#Interval categories|used for slendric]]. It is particularly convenient to use diatonic conventions for mothra, because its chain of fifths is meantone, and therefore 5/4 is simply read as a major third.
 
In the following tables, odd harmonics and subharmonics 1–21 are labeled in '''bold'''.  
In the following tables, odd harmonics and subharmonics 1–21 are labeled in '''bold'''.  


{| class="wikitable sortable center-all right-2"
{| class="wikitable sortable center-all right-3"
|-
|-
! rowspan="3" | # !! rowspan="3" | Cents* !! colspan="3" | Approximate ratios
! rowspan="3" | &#35; !! rowspan="3" | Extended <br /> diatonic <br /> interval !! rowspan="3" | Cents* !! colspan="3" | Approximate ratios
|-
|-
! rowspan="2" | 7-limit intervals !! colspan="2" | Intervals of undecimal extensions
! rowspan="2" | 7-limit intervals !! colspan="2" | Intervals of undecimal extensions
Line 32: Line 34:
|-
|-
| 0
| 0
| P1
| 0.0
| 0.0
| '''1/1'''
| '''1/1'''
Line 38: Line 41:
|-
|-
| 1
| 1
| SM2
| 232.3
| 232.3
| '''8/7'''
| '''8/7'''
Line 44: Line 48:
|-
|-
| 2
| 2
| s4
| 464.5
| 464.5
| '''21/16''', 35/27, 64/49
| '''21/16''', 35/27, 64/49
Line 50: Line 55:
|-
|-
| 3
| 3
| P5
| 696.8
| 696.8
| '''3/2'''
| '''3/2'''
Line 56: Line 62:
|-
|-
| 4
| 4
| SM6
| 929.0
| 929.0
| 12/7
| 12/7
Line 62: Line 69:
|-
|-
| 5
| 5
| s8
| 1161.3
| 1161.3
| 35/18, 63/32, 96/49
| 35/18, 63/32, 96/49
Line 68: Line 76:
|-
|-
| 6
| 6
| M2
| 193.5
| 193.5
| '''9/8''', 10/9
| '''9/8''', 10/9
Line 74: Line 83:
|-
|-
| 7
| 7
| SM3
| 425.8
| 425.8
| 9/7
| 9/7
Line 80: Line 90:
|-
|-
| 8
| 8
| s5
| 658.0
| 658.0
| 35/24, 72/49
| 35/24, 72/49
Line 86: Line 97:
|-
|-
| 9
| 9
| M6
| 890.3
| 890.3
| 5/3, 27/16
| 5/3, 27/16
Line 92: Line 104:
|-
|-
| 10
| 10
| SM7
| 1122.5
| 1122.5
| 40/21, 27/14
| 40/21, 27/14
Line 98: Line 111:
|-
|-
| 11
| 11
| sM2
| 154.8
| 154.8
| 35/32, 54/49
| 35/32, 54/49
Line 104: Line 118:
|-
|-
| 12
| 12
| M3
| 387.0
| 387.0
| '''5/4'''
| '''5/4'''
Line 110: Line 125:
|-
|-
| 13
| 13
| SA4
| 619.3
| 619.3
| 10/7
| 10/7
Line 116: Line 132:
|-
|-
| 14
| 14
| sM6
| 851.5
| 851.5
| 80/49
| 80/49
Line 122: Line 139:
|-
|-
| 15
| 15
| M7
| 1083.8
| 1083.8
| '''15/8''', 50/27
| '''15/8''', 50/27
Line 128: Line 146:
|-
|-
| 16
| 16
| SA1
| 116.0
| 116.0
| 15/14
| 15/14
Line 134: Line 153:
|-
|-
| 17
| 17
| sM3
| 348.3
| 348.3
| 60/49
| 60/49
Line 140: Line 160:
|-
|-
| 18
| 18
| A4
| 580.5
| 580.5
| 25/18, 45/32
| 25/18, 45/32
Line 146: Line 167:
|-
|-
| 19
| 19
| SA5
| 812.8
| 812.8
| 45/28, 100/63
| 45/28, 100/63
Line 152: Line 174:
|-
|-
| 20
| 20
| sM7
| 1045.0
| 1045.0
| 90/49
| 90/49
Line 158: Line 181:
|-
|-
| 21
| 21
| A1
| 77.3
| 77.3
| 25/24
| 25/24
Line 164: Line 188:
|-
|-
| 22
| 22
| SA2
| 309.5
| 309.5
| 25/21
| 25/21
Line 170: Line 195:
|-
|-
| 23
| 23
| sA4
| 541.8
| 541.8
|  
|  
Line 176: Line 202:
|-
|-
| 24
| 24
| A5
| 774.0
| 774.0
| 25/16
| 25/16
Line 182: Line 209:
|-
|-
| 25
| 25
| SA6
| 1006.3
| 1006.3
| 25/14
| 25/14
Line 188: Line 216:
|-
|-
| 26
| 26
| sA1
| 38.5
| 38.5
| 50/49
| 50/49
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