# Statistics as a tool in researching women composer populations

My field of research is using statistics to explore the history of music. Today I’d like to talk about some analysis I’ve done on women composers and their works. Time is short, so I’ve got just four charts, and I’ll talk briefly about what they tell us about women composers, and about the data and the methodology, and the sort of issues that can arise with this sort of investigation. There is more detail available at this link.1

The first chart is an attempt to quantify how many women composers there are.2

This data comes from merging a dozen or so sources that focus specifically on women composers or their works – including biographical sources, library and publishers’ catalogues, repertoire lists and others.3

It shows the cumulative number of women composers born up to each quarter-century between 1700 and 2000. So, for example, there were 306 female composers in these sources that we know were born before 1800.

I have split the bars into three categories. The red bars are composers that appear in several sources and for whom at least one of the sources mentions a year of birth.

The pink bars are the ones who have a birth date but appear in just one source. There are quite a lot of these – more than I would expect. One reason for this might be that some of these sources are the result of very thorough searches, and their compilers have genuinely found women composers that nobody else has listed.4

Another likely reason is that it is particularly difficult to match women composers across different sources, as they go by a wide variety of names – single and married names, male or female pseudonyms, titles, initials, and even their husband’s name. So probably some of those in the pink bars are already included in the red bars, but I’ve not been able to deduplicate them.5

The grey bar on the right is the 50% or so of names that didn’t have a birth date listed in these sources. In fact, it is possible to find at least approximate dates for many of these elsewhere: the size of this bar simply reflects that some of these sources didn’t include dates at all.6

So the pink bars should be a bit smaller than shown because there are probably still some duplicates, and those ‘date unknown’ names, if we knew the dates, would roughly double the height of each bar. So the true figure for 1800 might be more around the 500 to 600 mark.

However, there are other reasons for believing that the total here of 6,200 is a significant underestimate of the true number of women composers.

Some of you will have encountered the ‘International Encyclopedia of Women Composers’ by Aaron I Cohen, which also, by chance, lists about 6,000 names.7 When you compare my combined list with the Encyclopedia, it turns out that only about a third of the names in each are mentioned in the other. So that takes us up to something like 10,000 women composers – 6,000 in each, less the 2,000 or so that are counted twice.

Even 10,000 is an underestimate, though. Using other big general composer datasets – things like library catalogues, or Hofmeister’s Monatsberichte, or Pazdírek’s Handbook – it is relatively easy to find composers called Anna or Elizabeth or Charlotte who do not appear on any other lists.8

It is hard to quantify these unlisted women composers, but I think it is a substantial number.

Which brings me on to the second chart…

Rather than looking at women-only datasets, this one uses a combined list of over 50,000 composers – both male and female – that I pulled together recently for another project.9 The red region shows the proportion of composers born in each year who were women. The proportion rises from about 5% in 1700, to 10% or so in the nineteenth century, and grows faster during the twentieth century up to about 17% by 1975.10

This overall trend masks some interesting regional differences, shown by the blue lines. In Britain, women have comprised 15% or so of the composer population since the end of the eighteenth century. The Americans caught up with us during the second half of the nineteenth century. The proportion of French women composers has not changed much for the last two centuries. And in Germany and Italy, which have been arguably the most significant musical nations for much of the last 300 years, the proportion of female composers has been noticeably lower than average. Much of the growth in the late twentieth century has come from the rest of the world, particularly the Far East, South Asia and parts of Eastern Europe.

The dashed line shows the proportion of composers born in each year who were called John (or Johann, Jean, Giovanni, Juan, etc) – which in 1700 was a shocking 20% of all composers! It was only around 1930 that the cumulative total of women composers exceeded the total number of Johns.11

The point of including that line was to remind me to mention how we find the women in these general sources, hardly any of which explicitly mention genders. The best approach is to infer the genders from first names.12 There are computer packages to do this quite easily, but it is not 100% reliable.13 Many old names – Hildegard, for example – are not included in the databases used for this sort of classification, which date mainly from the nineteenth and twentieth centuries. There are also a few ‘unisex’ names, especially when they come from different countries. For example, I had to make a manual adjustment to avoid all of the French ‘Johns’ being classed as women composers.

You might be surprised that the overall proportion of women composers is as high as 10%. Among those composers who are well-known, of course, the proportion is much lower – a point related to the third chart…

This shows the distribution of article lengths in Oxford Music Online for male and female composers.14 Note the logarithmic x-axis, where each step represents an article double the length of the previous one. On the left we have the very short articles – 10% of women composers have an entry of less than a quarter of a page, but only 5% of male composers do. On the right, 20% of men have more than a page, but only about 6½% of women do. The average article length for men is in fact almost twice that for women.

The four longest articles on women in Oxford Music Online –  between 4 and 8 pages – are for Ann Southam (1937-2010, Canadian electronic and classical), Clara Schumann, Hildegard of Bingen and Johanna Kinkel (1810-1858, German).15 This puts them on a par with men like Bohuslav Martinu, Anton Reicha, Josef Suk and John Field, and there are many other men with much longer articles than these.

This is just one illustration of a persistent difference between male and female composers. We know less about women than their male counterparts, they have received less attention from musicologists, and their works are less likely to have survived.

There is also perhaps an element of ‘positive discrimination’, in that a female composer may be more likely to be listed in some datasets than an equally obscure male composer, simply because women are a more noticeable and fashionable minority of the composing population.16

Another important difference between male and female composers is in the type of works they wrote, as illustrated by the fourth slide, which is actually six small charts.

This slide uses data from over 30,000 works selected from IMSLP using its ‘random page’ feature.17 It uses the various genre-related tags that are associated with each work to plot the differences between male and female composers. These are just a few of the tags with the most significant differences, analysed by birth year and gender.

On the top row are three tags which are more common among female composers – ‘harp’, ‘voice’ and ‘keyboard’. On the bottom row are ‘strings’, ‘chorus’ and ‘orchestra’ – tags that are less likely to appear in works by women. This supports the fact that women tended to focus, more than men did, on small scale works for domestic performance, and were less likely to write music for large forces and public performance.

It also appears that all of these differences reduce or even reverse as we get into the twentieth century. This may well be true, although we should be careful about using IMSLP for music written after about 1930, due to the impact of copyright cut-off dates.18

Works by women accounted for only about 2½% of the random works on IMSLP, which is much lower than the 10% or so that we might expect from my previous slides. I have not found convincing evidence that women were typically any less prolific composers than men, so I think this is to do with women’s music being much less likely to survive – to have been published, circulated in significant quantities, retained in collections, or rediscovered – than is the case with men.19

Hopefully these slides have given you a flavour of the sort of thing that can be done with statistics in studying music history, and some of the methodological and data issues that can arise. Hopefully it has also increased your knowledge of women composers.

Cite this article as: Gustar, A.J. 'Statistics as a tool in researching women composer populations' in Statistics in Historical Musicology, 14th September 2018, https://www.musichistorystats.com/statistics-as-a-tool-in-researching-women-composer-populations/.
1. This paper was presented at the annual conference of the Royal Musical Association at Bristol University on 15 September 2018. Footnotes and other links were not included in the original presentation.
2. The charts in this paper have been produced using the `ggplot2` package in the `R` programming language.
4. The database of women song composers, for example, contains many names that do not appear elsewhere.
5. There are around three names for every two women composers. See this previous article about the difficulties of deduplication.
6. By ‘elsewhere’ I mean general composer sources (i.e. not women-specific), as well as Google searches and other general sources.
8. One such example is Charlotte M E Oliver, who was, according to Hofmeister, the most published British female composer in nineteenth century Germany. She is discussed in this article. Another example is Carlotta Cortopassi, with a single work listed by Pazdírek – see here for the latest news.
9. It was actually the same general list created for the investigation into British composers listed by Hofmeister. The main sources are listed in footnote 3 of that article. The list contains over 53,000 composers, of which 78% have a known birth year, 95% a nationality, and 96% a gender.
10. Note that all of the charts in this article show smoothed curves for easy of legibility.  The raw data produces rather more wiggly lines, of which these smoothed versions are essentially moving averages using LOESS regression.
11. See this previous article.
12. There are some other approaches that can also be useful, such as searching for the word “he/she” or “his/her” early in a biographical article, or looking for gendered titles such as “Lady” or “mlle”.
13. One example, used for this analysis, is the `gender` package for `R`. There are several others, making use of various historical and modern datasets.
14. The data is based on several previous investigations. A ‘page’ here is an arbitrary unit based on the text that fits roughly onto a computer screen. The article lengths only cover the biographical articles, and exclude images, references and work lists.
15. The first and last of these are perhaps unexpected, and seem to be due to the authors of these articles being rather more thorough than most.
16. This is related to the point mentioned earlier about the high number of ‘single source’ women composers. Musicologists appear more likely to go out of their way to find unknown female composers than to track down their more numerous male counterparts.
17. A computer program used the ‘random page’ to find (after removing duplicates) 31,648 works from 8,098 composers (including 754 works by 210 women), and to record various details including their genre-related tags.
18. There is a roughly 70-year period after a composer’s death before works come out of copyright and the score can be submitted to IMSLP (the details vary by country). More recent works on IMSLP may be simply listed, but with no score, or have been submitted by, or with the agreement of, the composer.
19. This is a difficult judgement to make. Those composers (mainly male) who made their living from composing obviously tended to write more works than those to whom financial success was less important (including most women composers). However, among those who were not obviously commercially successful ‘big names’ there is no evidence to suggest a difference in productivity between the sexes.

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