poole100

Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474

Open in Scale Workshop Scala analysis Download scl

Properties

Notes100
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12278.html#12278
Thread1 scale
Tone Tone (¢) Step Step (¢)
32805/32768 2 32805/32768 2
2240/2187 41 14680064/14348907 40
28/27 63 81/80 22
8505/8192 65 32805/32768 2
20480/19683 69 33554432/33480783 4
25/24 71 32805/32768 2
137781/131072 86 413343/409600 16
256/243 90 33554432/33480783 4
135/128 92 32805/32768 2
2187/2048 114 81/80 22
7168/6561 153 14680064/14348907 40
35/32 155 32805/32768 2
800/729 161 5120/5103 6
567/512 177 413343/409600 16
65536/59049 180 33554432/33480783 4
10/9 182 32805/32768 2
18225/16384 184 32805/32768 2
9/8 204 2048/2025 20
295245/262144 206 32805/32768 2
280/243 245 14680064/14348907 40
7/6 267 81/80 22
76545/65536 269 32805/32768 2
2560/2187 273 33554432/33480783 4
75/64 275 32805/32768 2
32/27 294 2048/2025 20
1215/1024 296 32805/32768 2
19683/16384 318 81/80 22
896/729 357 14680064/14348907 40
315/256 359 32805/32768 2
100/81 365 5120/5103 6
5103/4096 381 413343/409600 16
8192/6561 384 33554432/33480783 4
5/4 386 32805/32768 2
164025/131072 388 32805/32768 2
81/64 408 2048/2025 20
35/27 449 2240/2187 41
21/16 471 81/80 22
688905/524288 473 32805/32768 2
320/243 477 33554432/33480783 4
675/512 478 32805/32768 2
4/3 498 2048/2025 20
10935/8192 500 32805/32768 2
177147/131072 522 81/80 22
8960/6561 539 1174405120/1162261467 18
112/81 561 81/80 22
2835/2048 563 32805/32768 2
81920/59049 567 33554432/33480783 4
25/18 569 32805/32768 2
45927/32768 584 413343/409600 16
1024/729 588 33554432/33480783 4
45/32 590 32805/32768 2
729/512 612 81/80 22
28672/19683 651 14680064/14348907 40
35/24 653 32805/32768 2
3200/2187 659 5120/5103 6
189/128 675 413343/409600 16
40/27 680 5120/5103 6
6075/4096 682 32805/32768 2
3/2 702 2048/2025 20
98415/65536 704 32805/32768 2
1120/729 743 14680064/14348907 40
14/9 765 81/80 22
25515/16384 767 32805/32768 2
10240/6561 771 33554432/33480783 4
25/16 773 32805/32768 2
413343/262144 788 413343/409600 16
128/81 792 33554432/33480783 4
405/256 794 32805/32768 2
6561/4096 816 81/80 22
3584/2187 855 14680064/14348907 40
105/64 857 32805/32768 2
400/243 863 5120/5103 6
1701/1024 879 413343/409600 16
32768/19683 882 33554432/33480783 4
5/3 884 32805/32768 2
54675/32768 886 32805/32768 2
27/16 906 2048/2025 20
140/81 947 2240/2187 41
7/4 969 81/80 22
229635/131072 971 32805/32768 2
1280/729 975 33554432/33480783 4
225/128 977 32805/32768 2
16/9 996 2048/2025 20
3645/2048 998 32805/32768 2
59049/32768 1020 81/80 22
35840/19683 1038 1174405120/1162261467 18
448/243 1059 81/80 22
945/512 1061 32805/32768 2
50/27 1067 5120/5103 6
15309/8192 1083 413343/409600 16
4096/2187 1086 33554432/33480783 4
15/8 1088 32805/32768 2
492075/262144 1090 32805/32768 2
243/128 1110 2048/2025 20
35/18 1151 2240/2187 41
12800/6561 1157 5120/5103 6
63/32 1173 413343/409600 16
160/81 1178 5120/5103 6
2025/1024 1180 32805/32768 2
2 1200 2048/2025 20

Parent scales

FileNotesMax diff (¢)
trikelismic102 102 7.3

Child scales

FileNotesMax diff (¢)
indpar 22 0.0
xen13-grady-19-1 19 0.0
dwarf17_5 17 0.0
pyth_17 17 0.0
xen02-wilson-arabic 17 0.0
xen03-wilson-positive-17 17 0.0
xen13-grady-sophia 14 0.0
MersenneStar 12 0.0
centr 12 0.0
lazy 12 0.0
Mailing list post 
From: Gene Ward Smith (2005-06-07)
Subject: The Henry Ward Poole 100 note scale

This is a true historical curiosity, described in some detail in one
of Ellis' appendices to Helmholtz. It is something of a monstrosity,
but I'd suggest adding it to the Scala depository on historical
grounds; it doesn't seem to be there already. This should be correct,
as I made my list and checked it twice, etc. Ellis gives cents values,
including a wrong one for Ebb.

! poole100.scl 
Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
100
!
32805/32768
2240/2187
28/27
8505/8192
20480/19683
25/24
137781/131072
256/243
135/128
2187/2048
7168/6561
35/32
800/729
567/512
65536/59049
10/9
18225/16384
9/8
295245/262144
280/243
7/6
76545/65536
2560/2187
75/64
32/27
1215/1024
19683/16384
896/729
315/256
100/81
5103/4096
8192/6561
5/4
164025/131072
81/64
35/27
21/16
688905/524288
320/243
675/512
4/3
10935/8192
177147/131072
8960/6561
112/81
2835/2048
81920/59049
25/18
45927/32768
1024/729
45/32
729/512
28672/19683
35/24
3200/2187
189/128
40/27
6075/4096
3/2
98415/65536
1120/729
14/9
25515/16384
10240/6561
25/16
413343/262144
128/81
405/256
6561/4096
3584/2187
105/64
400/243
1701/1024
32768/19683
5/3
54675/32768
27/16
140/81
7/4
229635/131072
1280/729
225/128
16/9
3645/2048
59049/32768
35840/19683
448/243
945/512
50/27
15309/8192
4096/2187
15/8
492075/262144
243/128
35/18
12800/6561
63/32
160/81
2025/1024
2
Full thread (5 messages) 
From: Gene Ward Smith (2005-06-07)
Subject: The Henry Ward Poole 100 note scale

This is a true historical curiosity, described in some detail in one
of Ellis' appendices to Helmholtz. It is something of a monstrosity,
but I'd suggest adding it to the Scala depository on historical
grounds; it doesn't seem to be there already. This should be correct,
as I made my list and checked it twice, etc. Ellis gives cents values,
including a wrong one for Ebb.

! poole100.scl 
Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
100
!
32805/32768
2240/2187
28/27
8505/8192
20480/19683
25/24
137781/131072
256/243
135/128
2187/2048
7168/6561
35/32
800/729
567/512
65536/59049
10/9
18225/16384
9/8
295245/262144
280/243
7/6
76545/65536
2560/2187
75/64
32/27
1215/1024
19683/16384
896/729
315/256
100/81
5103/4096
8192/6561
5/4
164025/131072
81/64
35/27
21/16
688905/524288
320/243
675/512
4/3
10935/8192
177147/131072
8960/6561
112/81
2835/2048
81920/59049
25/18
45927/32768
1024/729
45/32
729/512
28672/19683
35/24
3200/2187
189/128
40/27
6075/4096
3/2
98415/65536
1120/729
14/9
25515/16384
10240/6561
25/16
413343/262144
128/81
405/256
6561/4096
3584/2187
105/64
400/243
1701/1024
32768/19683
5/3
54675/32768
27/16
140/81
7/4
229635/131072
1280/729
225/128
16/9
3645/2048
59049/32768
35840/19683
448/243
945/512
50/27
15309/8192
4096/2187
15/8
492075/262144
243/128
35/18
12800/6561
63/32
160/81
2025/1024
2
From: Kraig Grady (2005-06-07)
Subject: Re: [tuning-math] The Henry Ward Poole 100 note scale

have you cracked the code on this one?

Gene Ward Smith wrote:

>This is a true historical curiosity, described in some detail in one
>of Ellis' appendices to Helmholtz. It is something of a monstrosity,
>but I'd suggest adding it to the Scala depository on historical
>grounds; it doesn't seem to be there already. This should be correct,
>as I made my list and checked it twice, etc. Ellis gives cents values,
>including a wrong one for Ebb.
>
>! poole100.scl 
>Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
>100
>!
>32805/32768
>2240/2187
>28/27
>8505/8192
>20480/19683
>25/24
>137781/131072
>256/243
>135/128
>2187/2048
>7168/6561
>35/32
>800/729
>567/512
>65536/59049
>10/9
>18225/16384
>9/8
>295245/262144
>280/243
>7/6
>76545/65536
>2560/2187
>75/64
>32/27
>1215/1024
>19683/16384
>896/729
>315/256
>100/81
>5103/4096
>8192/6561
>5/4
>164025/131072
>81/64
>35/27
>21/16
>688905/524288
>320/243
>675/512
>4/3
>10935/8192
>177147/131072
>8960/6561
>112/81
>2835/2048
>81920/59049
>25/18
>45927/32768
>1024/729
>45/32
>729/512
>28672/19683
>35/24
>3200/2187
>189/128
>40/27
>6075/4096
>3/2
>98415/65536
>1120/729
>14/9
>25515/16384
>10240/6561
>25/16
>413343/262144
>128/81
>405/256
>6561/4096
>3584/2187
>105/64
>400/243
>1701/1024
>32768/19683
>5/3
>54675/32768
>27/16
>140/81
>7/4
>229635/131072
>1280/729
>225/128
>16/9
>3645/2048
>59049/32768
>35840/19683
>448/243
>945/512
>50/27
>15309/8192
>4096/2187
>15/8
>492075/262144
>243/128
>35/18
>12800/6561
>63/32
>160/81
>2025/1024
>2
>
>
>
>
>
>
> 
>Yahoo! Groups Links
>
>
>
> 
>
>
>
>
>  
>

-- 
Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles
From: Gene Ward Smith (2005-06-08)
Subject: Re: The Henry Ward Poole 100 note scale

--- In tuning-math@yahoogroups.com, Kraig Grady <kraiggrady@a...> wrote:
> have you cracked the code on this one?

No, and it's a pretty strange-looking scale, with all those
schisma intervals in it. By far the most obvious way to temper it is
garibaldi, the 41&53 temperament. That boils the whole thing down to
Garibaldi[43], which is a hell of a big difference from a 100 note
scale. But with 43 notes out of 94, you could just go to the 94 and
you'd still have fewer notes than the 100 you started with.
From: monz (2005-06-08)
Subject: Re: The Henry Ward Poole 100 note scale

i made a graphic of it here, for a webpage which i
intended to flesh out but never finished.

http://sonic-arts.org/monzo/poole/poole.htm



-monz
http://tonalsoft.com
Tonescape microtonal music software



--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> 
wrote:
> This is a true historical curiosity, described in some detail in one
> of Ellis' appendices to Helmholtz. It is something of a monstrosity,
> but I'd suggest adding it to the Scala depository on historical
> grounds; it doesn't seem to be there already. This should be 
correct,
> as I made my list and checked it twice, etc. Ellis gives cents 
values,
> including a wrong one for Ebb.
> 
> ! poole100.scl 
> Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
> 100
>
> <snip>
From: Kraig Grady (2005-06-08)
Subject: Re: [tuning-math] Re: The Henry Ward Poole 100 note scale

it looks like 5 -22 tone pythag. seperated by other just intervals

monz wrote:

>i made a graphic of it here, for a webpage which i
>intended to flesh out but never finished.
>
>http://sonic-arts.org/monzo/poole/poole.htm
>
>
>
>-monz
>http://tonalsoft.com
>Tonescape microtonal music software
>
>
>
>--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> 
>wrote:
>  
>
>>This is a true historical curiosity, described in some detail in one
>>of Ellis' appendices to Helmholtz. It is something of a monstrosity,
>>but I'd suggest adding it to the Scala depository on historical
>>grounds; it doesn't seem to be there already. This should be 
>>    
>>
>correct,
>  
>
>>as I made my list and checked it twice, etc. Ellis gives cents 
>>    
>>
>values,
>  
>
>>including a wrong one for Ebb.
>>
>>! poole100.scl 
>>Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
>>100
>>
>><snip>
>>    
>>
>
>
>
>
>
> 
>Yahoo! Groups Links
>
>
>
> 
>
>
>
>  
>

-- 
Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles

Raw file

! poole100.scl 
Henry Ward Poole's 100 note 7-limit scale, Helmholtz page 474
100
!
32805/32768
2240/2187
28/27
8505/8192
20480/19683
25/24
137781/131072
256/243
135/128
2187/2048
7168/6561
35/32
800/729
567/512
65536/59049
10/9
18225/16384
9/8
295245/262144
280/243
7/6
76545/65536
2560/2187
75/64
32/27
1215/1024
19683/16384
896/729
315/256
100/81
5103/4096
8192/6561
5/4
164025/131072
81/64
35/27
21/16
688905/524288
320/243
675/512
4/3
10935/8192
177147/131072
8960/6561
112/81
2835/2048
81920/59049
25/18
45927/32768
1024/729
45/32
729/512
28672/19683
35/24
3200/2187
189/128
40/27
6075/4096
3/2
98415/65536
1120/729
14/9
25515/16384
10240/6561
25/16
413343/262144
128/81
405/256
6561/4096
3584/2187
105/64
400/243
1701/1024
32768/19683
5/3
54675/32768
27/16
140/81
7/4
229635/131072
1280/729
225/128
16/9
3645/2048
59049/32768
35840/19683
448/243
945/512
50/27
15309/8192
4096/2187
15/8
492075/262144
243/128
35/18
12800/6561
63/32
160/81
2025/1024
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12278.html#12278
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 12278
! msg_id = 12278