Suspended in Ratios is an electroacoustic drone composition that explores the relationships between intonation, microtonality, and harmony within the framework of the 7-limit just intonation system. The work’s chief inspiration and point of departure was US minimalist La Monte Young’s tuning system presented in The Well-Tuned Piano. The system, also known as “natural,” is based on a type of xenharmonic scale used in 7-limit just intonation, in which musical intervals are based on ratios between integral numbers (hence the ratios in the title). Unlike in equal temperament, the distances between successive scale degrees are not equal. Young’s system is based on the ratios between prime numbers 2, 3, 7, and their multiples. The constant fundamental frequency that provides the basis for other ratios is that of E♭2 (SPN). The composer develops Young’s concept of microtonality, applying this hard-to-perform tuning in an even more challenging context – that of an orchestra rather than the piano. 

Just intonation systems are those in which the frequency ratios of all the intervals are rational numbers. However, these ratios are not fixed and can change, depending on the harmony and the context in which a given interval occurs. The 7-limit proportions are created using only the prime numbers 2, 3, 5, 7, and their multiples. Proportions are calculated from a single fundamental frequency, usually denoted as 1:1 or 1/1. 

The tuning process becomes more fluid and less precise, which enhances the possibility of working with sound types and timbres. Due to the very precise results of these calculations, implementing the ji system (frequently adjusted to Western music’s equal temperament) can be a great challenge, both for the composer and performers. Extraordinary precision and full engagement are required from all orchestra members while actively listening to one another, in order to tune all the harmonies properly. Suspended in Ratios highlights the potential benefits of understanding sound as an acoustic phenomenon and employing a tuning method that deviates from the evenly tempered system commonly used in Western classical music. By incorporating such an approach, one can potentially gain a deeper appreciation for the complexity of musical performance. 

Despite the above-presented difficulties, Słyż finds ample justification for employing just intonation. Most importantly, the tuning system physically conforms to the harmonic series. This can be illustrated by plucking the string, which always results in producing the lowest partial (in this case – the constant fundamental frequency) and a number of overtones, the same as those produced by dividing the string at the ratios of 2:3, 3:4, etc. Similarly for brass instruments, the harmonic series is the same as that used in most natural tuning systems. In order to make precise intonation possible in Young’s system, the composer retunes the winds, applies scordatura on the strings, and preparation on the percussion instruments. A large proportion of the string sound is based on natural harmonics, which are much more akin to just intonation than to equal temperament. Fixed electronics enhance the Basel Sinfonietta ensemble by enriching and unifying the acoustic sound of all instruments, reinforcing each and every chord, and significantly simplifying the process of tuning and interpreting the harmony by the performers. 

Suspended in Ratios – Political statement
We are horrified by the situation in the world that we are observing. So many wars are happening right before our eyes. Never before have we been able to witness it all from such a close distance, observing both the perspectives of the perpetrators and the victims themselves, as well as those who previously had no platform on which to raise their own voices. We are learning to distinguish real information, understand disinformation, and become even more aware citizens of this world that is constantly affected by the stigma of war.

Political neutrality. It is a phrase that I, as a Pole, view through the lens of my ancestors who had to fight too many times for our independence. I have heard stories that are both unfair and touching, brutal and beautiful, ruthless and selfless. In these stories, I see no one who remained neutral during the armed conflicts that swept through our country. But those who were willing to sacrifice their own peace and safety for the sake of others have been remembered and honoured until this day.

Taking action always involves greater risk compared to being passive. This may seem like a comforting thought for some, but in my opinion, it is a shortsighted perspective. Being politically neutral can only lead to the abandonment of the fight for equality and justice for all living beings, regardless of where they come from. Whether it’s someone from Ukraine, Palestine, Congo, Nigeria, or Sudan, no life should be worth more or less than another. Every life is equally valuable and should be treated as such.

It is so unfortunate that we are born into different societies, with different histories and responsibilities for past actions, with varying levels of privileges. We have no control over this. However, we can control how we use these privileges in order to advocate for the freedom of others. And so shall we do. 

Aleksandra Słyż