2.1. Isochronic Beats
Binaural beats have been the subject of a great deal of research [
25,
26], but differences in outcomes using binaural beats and isochronic beats have been little studied. Research in frequency-following response to rhythmic stimuli often uses isochronic beats, as sounds or clicks [
11,
12,
17], and their use in this realm indicates potential for effectiveness in BWE [
27]. Rather than clicks, the music in this study uses smoother pulses, with more harmonic integration with the music than clicks, due to the continuous tone (
Figure 1). Isochronous or isochronic tones are monaural, the same tone-beat presented to each ear. They are not only beats, but musical tones, as distinct from tones in binaural beats, which are selected only for their ability to generate binaural beats.
Entrainment response to tones or beats may include response to harmonics of the provided beat [
18], and in the case of tones implying a portion of a musical pattern, the brain may provide a response at the missing fundamental or root tone [
20]. In addition, the presence of low tones, as in the bass in dance music, has been shown to improve neural tracking of musical beats [
19].
The efficacy of music to relieve pain, including chronic pain, has been well-demonstrated [
21,
22,
23], but how long the analgesic effect can last beyond the cessation of the music is unclear.
2.2. Characteristics of Music for Chronic Pain
A review by Garza-Villarreal et al. [
21] derived characteristics of the music that provided the best overall outcomes in the studies. Music that was pleasant, with few beats per minute, and was self-chosen, was preferred, with familiarity of music as a noticeable but non-statistically significant additional factor. Howlin and Rooney [
22] showed chronic pain patients with unlimited choice (Spotify) selecting high-energy music with lyrics for dealing with chronic pain, but the conditions of such selection are not clear. The present study design investigates BWE beginning from relaxation in eyes-open default mode, for 30 min at a time, making high-energy music potentially impractical. However, this option should be investigated in future work. Music was shown to have a moderate to strong effect on anxiety and depression, which are common comorbidities with chronic pain. The authors concluded that listening to music as little as 20 min a day could be effective in pain relief. Others have reviewed literature [
23] and concluded that familiarity of self-chosen music provides a sense of control that reduces anxiety and perception of pain.
While self-chosen music has been shown to have greater efficacy in relieving pain [
21,
22,
23], conditions did not allow us to add brainwave beats to music pre-selected by volunteers. Instead, selected pieces comprised pleasant, non-dramatic music by well-known classical composers and popular artists, as well as New Age music. If 20 min a day could result in music analgesia, we hypothesized that developing a habit of longer listening times may have longer-term effects, as long as the listening was pleasant enough to engage subjects. We created a mobile app serving 28 half-hour pieces of music (range 25–32 min), with a menu with samples to aid choice. We considered that the quantity of choices may have preserved some of the sense of agency and control that self-chosen music provides, but a larger pool of music would be desirable in future studies.
Duration of pain relief beyond listening time is not addressed in any of the previous studies [
21]. The present study was designed with four weeks of regular listening, followed by four weeks of not listening to music, to determine how long music analgesia would persist after cessation of listening. During the study, after four weeks, non-listening caused recurrence of pain after a few days, so listening was resumed for the final four weeks.
2.3. Subject Protocols
Due to the rural Maine region in which subjects were recruited, the number of accepted applicants to the study did not support controls, making this an observational study, which we see as a pilot for future research.
Recruitment: Calls for volunteers were made through posters in the local area, a radio interview, and non-profit newsletters; applications were taken online and on paper. A total of 13 adults between age 34 and 78 applied, of which nine online and four on paper at a public event describing the study plan. The study called for volunteers with chronic pain of greater than a year’s duration, with varying etiologies of back pain. Pain due to complex fractures and back pain due to lupus and Lyme disease were accepted. Disqualifying comorbidities for the study (epilepsy, current treatment for substance use, and diagnosed mental illness) were clearly stated in both paper and online applications and in the presentation. A total of 12 applicants were accepted. One male withdrew after the study began, one female provided insufficient data responses, and one male’s data was disqualified due to an injury during the study, leaving a pool of nine volunteers. After receiving an explanation of the requirements of the study, all volunteers provided written informed consent, and the study design was reviewed with the SongRest Advisory Board.
A web-based mobile-enabled app was developed for this study. The app screen view shown in
Figure 2 shows a list of selections made by a volunteer. Providing music only through the app allowed dynamic delivery of music, and tracked the exact times and durations each volunteer spent streaming each piece of music. Two volunteers who lived off the grid received CDs of their chosen music, for which time-tracking was not available.
Research that involves self-directed music listening suffers from potential inaccuracies arising from self-reporting of duration of listening. The app made an important contribution to this research with the ability to track listening in real time, providing precise quantitative data.
Volunteers were not apprised of the time-tracking feature, as this knowledge might have interfered with individual motivations.
The protocol for volunteers was to stop all activities, sit or lie quietly, and listen to a music selection for 30 min, twice a day, during the 28-day listening period. Stopping activity and being quiet was intended to engage the default mode network as a baseline [
8]. Volunteers selected from the menu of musical selections and saved their selections. They could change selections at any time, to preserve a sense of agency. No timer was needed: volunteers listened to a piece of music to the end. The app filtered music delivery based on whether volunteers indicated they would use headphones or speakers to listen to the music. Different mixes were provided for each condition, due to differences in the dynamic range between headphones and speakers.
Volunteers were provided with a series of pre-dated paper assessments to be mailed on dates given. Pre-addressed stamped envelopes assured that there were no barriers to reporting. Reports included current pain at time of report, using a 10 cm visual analog scale (VAS) and a 0–10 numerical pain score (NPS), estimated average pain over the previous week (NPS) and the highest pain level experienced in the previous week (NPS). Finally, volunteers reported the amount of pain medication (type, quantity, and frequency) used per day or per week. Opioids and anti-seizure medication have low absolute doses compared with extra-strength NSAIDs, requiring adjustment to compare dosages. All medications were recorded in their total milligram amounts to compute milligrams per week for each medication. For some volunteers, weekly milligrams were in the thousands, where opioids were in the tens. Scaling factors allowed adjusting the numbers into a comparable trend range while preserving the proportional values in use.
A comment section provided on each report allowed volunteers to apprise researchers of any issues or give a valuation of listening for the previous period. Many of these indicated enjoyment of the music, but difficulty in getting in the second session of listening each day. This will be considered in design of future studies.
2.4. Technical Design of Music
Because brainwave frequencies fall within ranges rather than being an absolute standard for every person, integer frequencies for isochronic tones were not required. This was helpful in designing isochronic beats that are exactly proportional to the key of the music, and where needed, its tempo. Isochronic beats were formed by a carrier tone in the key of the music pulsing at a frequency equal to an exact subharmonic of the key.
The target frequency range for isochronic pulses was 6–7 Hz, a range of frequencies corresponding to healthy function of our targeted areas of the DPMS. Because binaural beats masked in a bed of white noise have shown entrainment [
27], the assumption for this study was that brainwave frequencies, while barely audible in the music, could entrain the brainwaves of the mPFC/ACC/dlPFC, though we could not verify that the brainwaves affected outcomes, as EEG was not available for this study. However, the study design may be a template for future trials with EEG readings taken while listening to the long-form music.
The brainwave target frequencies are derived from the division of an exact tonal frequency of a tone in a diatonic scale based on A = 440 Hz [
28], by an integer corresponding to a harmonic or subharmonic. Since BWE has been shown in brief sound experiments of 5–7 min [
11,
17], we hypothesized that the length of the musical selections allowed ample time for BWE. Isochronic beats, their carrier tones, and additional low tones were set as proportional to the root note of the music’s predominant key. In practice, the isochronic frequencies ranged from 6.118 Hz to 6.867 Hz, depending on the key of the music.
Table 1 shows keys and frequencies of subharmonics used to create isochronic beat-tones.
For the key of C, for example, we chose the second lowest C on the piano keyboard, at 65.406 Hz. The subharmonic in our preferred range is the one-10th of the root, or 6.45406 Hz. This can be stated as:
the general form is as follows:
It is not an exact formula, but requires iteration to arrive at a useful frequency. Thus, one isochronic carrier tone C is 65.406 Hz; it pulses at 6.541 Hz, proportional to the key in the ratio of 1/10. The C tone an octave lower than the carrier tone, 32.7032 Hz, near the bottom of the audible range, is added as a steady low tone.
The target frequency range of 6–7 Hz is a guide to select subharmonics that correspond with, and are proportional to, the musical tone or key of a musical selection (as in our example of the subharmonic at 1/10 the root frequency of the note C above), usually in the lower octaves. We also related the target frequency to tempo in beats per minute where appropriate. Much music does not have a fixed tempo, such as classical music or New Age ambient music, and included only tones and beats.
Commercially produced music that could be used or modified to meet the requirements for tempo and/or key was the first choice. Using professional-quality software, we edited and modified the music to add tones, detailed below.
Several areas of the brain become more or less active in common types of chronic pain (see
Table 2). The three identified areas are associated in a kind of group response to chronic pain [
2,
14,
29]. In response to chronic pain, the mPFC shows increased activity [
2] with reduced volume [
4]. The anterior cingulate cortex (ACC) is functionally part of the prefrontal response network to CBP [
14,
29]. It exhibits oscillations at two separate frequencies in two bands: 6 Hz (theta), and 10 Hz (alpha). Theta amplitude increases in the ACC with memory of approach of future events (prospective memory), and in response to chronic pain, whereas alpha is suppressed in this type of cortical activity in the ACC [
30]; thus, we focused on the theta frequency.
For brain areas that are more active in chronic pain (mPFC, ACC), brainwaves that may tend to change the frequency of peak power were selected, to entrain the oscillations of the activated brain areas toward frequencies of a normal, non-chronic-pain state. For brain areas that are less active and/or less synchronous in chronic pain (dlPFC), the inverse relationship of the mPFC to dlPFC [
2], coupled with entrainment to the dlPFC’s non-pain frequency, may induce the dlPFC to return to its normal activity, including modulating descending pain signals, reducing the perception of pain.
Beats were layered or embedded in music so they were barely audible to most listeners, and therefore, should not interfere with enjoyment of the music.
Music was prepared on a MacBook Pro running Mac OS High Sierra 10.13.6. Software used in preparation of music included Audacity version 2.1.3, an open-source application for music editing, with the plugin Isochronic Modulator by Steve Daulton, for creating isochronic tones with control of pulse shape and low tones, both with high accuracy in frequency. Adobe Audition CC 2019 was used to mix tracks for the final mixes. Volume automation profiles for the isochronic tone-beats and low tones in Audition followed changes in volume of the music to keep the tone-beats barely audible (
Figure 3).
The green sound waves are the stereo music tracks, showing the end of one section and the beginning of the next. Changes in amplitude (volume) are quite visible as the line gets wider (louder) and narrower (quieter). The purple stripe is the isochronic beat track, the height of the line following the general volume of the music. Gold shows a low tone track in the key of the music (its root), whose sound characteristics did not require it to follow the volume precisely. The colors are arbitrary in the software and have no significance.