Connect with us

Entertainment

The golden ratio: an ancient Greek formula could be responsible for most hit musicals

Published

on

In theory, this replicates aesthetically pleasing patterns found in nature but recreated in a musical. The concept of my research was to use the results of analysis of the ten most successful sung-through commercial musicals. (File photo: Nadim Merrikh/Unsplash)

“What’s the secret to your success?” A simple question asked frequently of those who have achieved greatness in their field. Sometimes, that secret is so well disguised even the successful individual is unaware of its influence.

When it comes to sung-through musical theatre, it turns out, that is indeed the case. Since 1972, when Jesus Christ Superstar premiered on Broadway, the most popular sung-through musicals have almost unanimously employed a centuries-old formula known as “the golden ratio” – and surprisingly, they appear to have done so completely by accident.

The golden ratio is an irrational number approximately equal to 1.618. It exists when a line is divided into two parts, with one part longer than the other. The longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.

The ratio is found in nature, such as in the patterns of seeds within a sunflower, the shape of snail shells and, most recently suggested, in the human genome. Its connection with the aesthetic beauty of nature has attracted creatives throughout history to use the number to create art, music, and design.

When appropriately applied, the golden ratio is suggested to demonstrate an influence on human awareness of proportion and aesthetic beauty, resulting in artistic masterpieces including Da Vinci’s The Mona Lisa (1506), Bartok’s Music for Strings, Percussion and Celesta (1936) and Le Corbusier’s Unité d’Habitation (1920).

A surprising discovery

My area of expertise is musical theatre composition, and for my PhD research, I explored if the golden ratio would be a suitable tool for large musical composition. The 3D nature of musical design (plot, music, visual) allows for interesting elements to be integrated into a musicals structure at golden ratio points along its duration. These elements could include a dramatic moment such as a character death, a musical highlight such as a key change or a visual element such as choreography or a set change.

The crucial factor was to take the most important elements that bring a musical to life and place them at the golden ratio points. In theory, this replicates aesthetically pleasing patterns found in nature but recreated in a musical. The concept of my research was to use the results of analysis of the ten most successful sung-through commercial musicals.

This process helped to formulate a structure encompassing the golden ratio which I used to compose the musical The Green Door (with lyrics by Jane Robertson).

To analyse the musicals, I designed a model that sub-divided the duration of each into 16 golden ratio points. I then could identify if, what and where any interesting elements occurred.

You can imagine my astonishment when, early one morning, my calculations revealed that within Les Miserables, the principal characters of Fantine, Eponine, Gavrosche and Valjean all died on or very close to a golden ratio point. Further analysis revealed that major changes in the story line (matching to within less than 1%) coincided with all 16 golden ratio points.

The same process was applied to a further nine musicals, including Phantom of the Opera, Cats, Miss Saigon and Aspects of Love. The results displayed similar patterns but interestingly, a difference in accuracy became evident in musicals that had a shorter life-span at the box office. In essence, musicals that had the most box office success and longevity of run showed closer alignment to the golden ratio than those that had a shorter run, and less financial gain.

Unwitting followers of the ratio

The research highlighted another interesting phenomenon. There is no documentary evidence from the composers that imply any intention of aligning the musicals with the golden ratio.

Claude Michelle Schoenberg (composer of Les Miserables) kindly agreed to be interviewed concerning his method of composition. It was evident that no mathematical formula was included in that process. The discovered alignments are natural occurrences implemented by composers, writers and producers with years of experience, knowledge and talent in the musical theatre industry.

Two hands reaching for one another.
The musical was created as a result of the research into the golden ratio. Author provided

It would be wrong to assume a subconscious usage of the golden ratio is evident in the findings and I make no claim that it’s responsible for the success of the musicals analysed. But like in the works of Debussy, Bartok, Da Vinci and Le Corbusier, the ratio is there.

After seven years of research, I now believe, an aesthetic link to the ratio exists not just in the final work but primarily throughout the process of creation. The nurturing of ideas, the reflective process, the discovery of common elements, experience and self confidence in your own ability and skills combine to create an aesthetic process. This can only benefit the music and is seemingly influenced by that magic golden ratio.

So if you would like to put this to the test, I have created a spreadsheet that takes into account the theoretical and practical research and, with no guarantees, might help write the next blockbuster musical.The Conversation

Stephen Langston, Programme Leader for Performance, University of the West of Scotland

This article is republished from The Conversation under a Creative Commons license. Read the original article.

xosotin chelseathông tin chuyển nhượngcâu lạc bộ bóng đá arsenalbóng đá atalantabundesligacầu thủ haalandUEFAevertonxosofutebol ao vivofutemaxmulticanaisonbethttps://bsport.fithttps://onbet88.ooohttps://i9bet.bizhttps://hi88.ooohttps://okvip.athttps://f8bet.athttps://fb88.cashhttps://vn88.cashhttps://shbet.atbóng đá world cupbóng đá inter milantin juventusbenzemala ligaclb leicester cityMUman citymessi lionelsalahnapolineymarpsgronaldoserie atottenhamvalenciaAS ROMALeverkusenac milanmbappenapolinewcastleaston villaliverpoolfa cupreal madridpremier leagueAjaxbao bong da247EPLbarcelonabournemouthaff cupasean footballbên lề sân cỏbáo bóng đá mớibóng đá cúp thế giớitin bóng đá ViệtUEFAbáo bóng đá việt namHuyền thoại bóng đágiải ngoại hạng anhSeagametap chi bong da the gioitin bong da lutrận đấu hôm nayviệt nam bóng đátin nong bong daBóng đá nữthể thao 7m24h bóng đábóng đá hôm naythe thao ngoai hang anhtin nhanh bóng đáphòng thay đồ bóng đábóng đá phủikèo nhà cái onbetbóng đá lu 2thông tin phòng thay đồthe thao vuaapp đánh lô đềdudoanxosoxổ số giải đặc biệthôm nay xổ sốkèo đẹp hôm nayketquaxosokq xskqxsmnsoi cầu ba miềnsoi cau thong kesxkt hôm naythế giới xổ sốxổ số 24hxo.soxoso3mienxo so ba mienxoso dac bietxosodientoanxổ số dự đoánvé số chiều xổxoso ket quaxosokienthietxoso kq hôm nayxoso ktxổ số megaxổ số mới nhất hôm nayxoso truc tiepxoso ViệtSX3MIENxs dự đoánxs mien bac hom nayxs miên namxsmientrungxsmn thu 7con số may mắn hôm nayKQXS 3 miền Bắc Trung Nam Nhanhdự đoán xổ số 3 miềndò vé sốdu doan xo so hom nayket qua xo xoket qua xo so.vntrúng thưởng xo sokq xoso trực tiếpket qua xskqxs 247số miền nams0x0 mienbacxosobamien hôm naysố đẹp hôm naysố đẹp trực tuyếnnuôi số đẹpxo so hom quaxoso ketquaxstruc tiep hom nayxổ số kiến thiết trực tiếpxổ số kq hôm nayso xo kq trực tuyenkết quả xổ số miền bắc trực tiếpxo so miền namxổ số miền nam trực tiếptrực tiếp xổ số hôm nayket wa xsKQ XOSOxoso onlinexo so truc tiep hom nayxsttso mien bac trong ngàyKQXS3Msố so mien bacdu doan xo so onlinedu doan cau loxổ số kenokqxs vnKQXOSOKQXS hôm naytrực tiếp kết quả xổ số ba miềncap lo dep nhat hom naysoi cầu chuẩn hôm nayso ket qua xo soXem kết quả xổ số nhanh nhấtSX3MIENXSMB chủ nhậtKQXSMNkết quả mở giải trực tuyếnGiờ vàng chốt số OnlineĐánh Đề Con Gìdò số miền namdò vé số hôm nayso mo so debach thủ lô đẹp nhất hôm naycầu đề hôm naykết quả xổ số kiến thiết toàn quốccau dep 88xsmb rong bach kimket qua xs 2023dự đoán xổ số hàng ngàyBạch thủ đề miền BắcSoi Cầu MB thần tàisoi cau vip 247soi cầu tốtsoi cầu miễn phísoi cau mb vipxsmb hom nayxs vietlottxsmn hôm naycầu lô đẹpthống kê lô kép xổ số miền Bắcquay thử xsmnxổ số thần tàiQuay thử XSMTxổ số chiều nayxo so mien nam hom nayweb đánh lô đề trực tuyến uy tínKQXS hôm nayxsmb ngày hôm nayXSMT chủ nhậtxổ số Power 6/55KQXS A trúng roycao thủ chốt sốbảng xổ số đặc biệtsoi cầu 247 vipsoi cầu wap 666Soi cầu miễn phí 888 VIPSoi Cau Chuan MBđộc thủ desố miền bắcthần tài cho sốKết quả xổ số thần tàiXem trực tiếp xổ sốXIN SỐ THẦN TÀI THỔ ĐỊACầu lô số đẹplô đẹp vip 24hsoi cầu miễn phí 888xổ số kiến thiết chiều nayXSMN thứ 7 hàng tuầnKết quả Xổ số Hồ Chí Minhnhà cái xổ số Việt NamXổ Số Đại PhátXổ số mới nhất Hôm Nayso xo mb hom nayxxmb88quay thu mbXo so Minh ChinhXS Minh Ngọc trực tiếp hôm nayXSMN 88XSTDxs than taixổ số UY TIN NHẤTxs vietlott 88SOI CẦU SIÊU CHUẨNSoiCauVietlô đẹp hôm nay vipket qua so xo hom naykqxsmb 30 ngàydự đoán xổ số 3 miềnSoi cầu 3 càng chuẩn xácbạch thủ lônuoi lo chuanbắt lô chuẩn theo ngàykq xo-solô 3 càngnuôi lô đề siêu vipcầu Lô Xiên XSMBđề về bao nhiêuSoi cầu x3xổ số kiến thiết ngày hôm nayquay thử xsmttruc tiep kết quả sxmntrực tiếp miền bắckết quả xổ số chấm vnbảng xs đặc biệt năm 2023soi cau xsmbxổ số hà nội hôm naysxmtxsmt hôm nayxs truc tiep mbketqua xo so onlinekqxs onlinexo số hôm nayXS3MTin xs hôm nayxsmn thu2XSMN hom nayxổ số miền bắc trực tiếp hôm naySO XOxsmbsxmn hôm nay188betlink188 xo sosoi cầu vip 88lô tô việtsoi lô việtXS247xs ba miềnchốt lô đẹp nhất hôm naychốt số xsmbCHƠI LÔ TÔsoi cau mn hom naychốt lô chuẩndu doan sxmtdự đoán xổ số onlinerồng bạch kim chốt 3 càng miễn phí hôm naythống kê lô gan miền bắcdàn đề lôCầu Kèo Đặc Biệtchốt cầu may mắnkết quả xổ số miền bắc hômSoi cầu vàng 777thẻ bài onlinedu doan mn 888soi cầu miền nam vipsoi cầu mt vipdàn de hôm nay7 cao thủ chốt sốsoi cau mien phi 7777 cao thủ chốt số nức tiếng3 càng miền bắcrồng bạch kim 777dàn de bất bạion newsddxsmn188betw88w88789bettf88sin88suvipsunwintf88five8812betsv88vn88Top 10 nhà cái uy tínsky88iwinlucky88nhacaisin88oxbetm88vn88w88789betiwinf8betrio66rio66lucky88oxbetvn88188bet789betMay-88five88one88sin88bk88xbetoxbetMU88188BETSV88RIO66ONBET88188betM88M88SV88Jun-68Jun-88one88iwinv9betw388OXBETw388w388onbetonbetonbetonbet88onbet88onbet88onbet88onbetonbetonbetonbetqh88mu88Nhà cái uy tínpog79vp777vp777vipbetvipbetuk88uk88typhu88typhu88tk88tk88sm66sm66me88me888live8live8livesm66me88win798livesm66me88win79pog79pog79vp777vp777uk88uk88tk88tk88luck8luck8kingbet86kingbet86k188k188hr99hr99123b8xbetvnvipbetsv66zbettaisunwin-vntyphu88vn138vwinvwinvi68ee881xbetrio66zbetvn138i9betvipfi88clubcf68onbet88ee88typhu88onbetonbetkhuyenmai12bet-moblie12betmoblietaimienphi247vi68clupcf68clupvipbeti9betqh88onb123onbefsoi cầunổ hũbắn cáđá gàđá gàgame bàicasinosoi cầuxóc đĩagame bàigiải mã giấc mơbầu cuaslot gamecasinonổ hủdàn đềBắn cácasinodàn đềnổ hũtài xỉuslot gamecasinobắn cáđá gàgame bàithể thaogame bàisoi cầukqsssoi cầucờ tướngbắn cágame bàixóc đĩaAG百家乐AG百家乐AG真人AG真人爱游戏华体会华体会im体育kok体育开云体育开云体育开云体育乐鱼体育乐鱼体育欧宝体育ob体育亚博体育亚博体育亚博体育亚博体育亚博体育亚博体育开云体育开云体育棋牌棋牌沙巴体育买球平台新葡京娱乐开云体育mu88qh88
Continue Reading
Click to comment

Leave a Reply

Your email address will not be published. Required fields are marked *

Maria in Vancouver

Lifestyle5 days ago

How To Do Christmas & Hanukkah This Year

Christmas 2024 is literally just around the corner! Here in Vancouver, we just finished celebrating Taylor Swift’s last leg of...

Lifestyle1 month ago

Nobody Wants This…IRL (In Real Life)

Just like everyone else who’s binged on Netflix series, “Nobody Wants This” — a romcom about a newly single rabbi...

Lifestyle1 month ago

Family Estrangement: Why It’s Okay

Family estrangement is the absence of a previously long-standing relationship between family members via emotional or physical distancing to the...

Lifestyle3 months ago

Becoming Your Best Version

By Matter Laurel-Zalko As a woman, I’m constantly evolving. I’m constantly changing towards my better version each year. Actually, I’m...

Lifestyle3 months ago

The True Power of Manifestation

I truly believe in the power of our imagination and that what we believe in our lives is an actual...

Maria in Vancouver4 months ago

DECORATE YOUR HOME 101

By Matte Laurel-Zalko Our home interiors are an insight into our brains and our hearts. It is our own collaboration...

Maria in Vancouver4 months ago

Guide to Planning a Wedding in 2 Months

By Matte Laurel-Zalko Are you recently engaged and find yourself in a bit of a pickle because you and your...

Maria in Vancouver5 months ago

Staying Cool and Stylish this Summer

By Matte Laurel-Zalko I couldn’t agree more when the great late Ella Fitzgerald sang “Summertime and the livin’ is easy.”...

Maria in Vancouver6 months ago

Ageing Gratefully and Joyfully

My 56th trip around the sun is just around the corner! Whew. Wow. Admittedly, I used to be afraid of...

Maria in Vancouver6 months ago

My Love Affair With Pearls

On March 18, 2023, my article, The Power of Pearls was published. In that article, I wrote about the history...